Courses

# a)1b)– 1c)0d)none of theseCorrect answer is option 'C'. Can you explain this answer? Related Test: Test: Continuity And Differentiability (CBSE Level) - 1

## JEE Question

 Vikas Saini Mar 12, 2020
Santosh sahoo discovers sin90* as zero LOL.sin90* is not perfact 1 in limits,it is slightly less than 1,so it is zero in GIF and LHL and RHL has cos

 Khaja Moinuddin May 01, 2020

 Rabin Mondal Apr 15, 2020
0

 Silent Nisarg Apr 14, 2020
0 is correct answer

 Shashmith Shashmith Mar 24, 2020
Option A is correct answer

 Vishwajeet Dhumal Apr 08, 2020
We have to find the the greatest integer part of the value [sinx]. we know that sin pi/2 = 1 but since the limit is approaching pi/2 but is not completely pi/2, therefore we can conclude by the rules of greatest integer function that the value of function greater than 0 and slightly less than 1 is always zero(only if it is the greatest integer function).

 Chethana R Veena Apr 19, 2020
C

 Rathod Guru May 10, 2020

 Mahesh Botsa May 26, 2020

 Rekha Gupta May 12, 2020
1

 Vidhyadhar Muskawad Jun 24, 2020
Option C is correct answer

 Vikas Saini May 21, 2020
C is correct

 Suresh Kumar May 12, 2020

 Aditi Sharma Jun 30, 2020
0 is correct

 Aaradhaya Singh Jan 04, 2021
Answer is c i.e. zero

 Krishankumar Beniwal Jun 02, 2020
Because sinx is less less than x sinx is belong in 1to 0 so g.i.f. of this is 0

 Rajendra Singh Bhandari May 20, 2020
By putting pie/2 in box of sinx it will be less than 1 so box value will be zero

 Koyna Jatwar Nov 05, 2020
C ) 0

 Ravindra Karande Jun 19, 2020

 Harsh Gujalwar May 27, 2020
The ans must be zero as theta tends to pie hence sin theta tend to 1 but never equal to 1 hence gif is 0

 Harun Shankar May 21, 2020
At exactly x=1 without limits step of sinx is 1 but limit x tends to means it approaches to not equal to
then the value is always less than 1 if we apply step function it is zero

 Amar Kumar Oct 21, 2020
Zero is correct answer

 Rocky Srk Mar 29, 2020
Sinx has value a little less then 1 in limit... here sinx is under integral function [ ] so option C is correct...

 User714337 Apr 14, 2020
Yes c is correct

 Amal Krishnan Jul 02, 2020
[sin90]=[1]=0

 Prashant Kumar Apr 30, 2020
A

 Suraj Jangid Oct 13, 2020
Option (c),0 is correct answer

 Sagar Naik Apr 17, 2020
Bez it is in greatest integer function.....[sinx]

 Krit Goswami Jul 01, 2020
Correct answer is a

 Shweta Singh May 09, 2020
Π/2=90• which is equal to 0

 Nisha Sharma May 22, 2020
Answer is C(0)

 Ramesh Sinha Jul 31, 2020
A is the correct answer

 Aishwary Omar Apr 21, 2020

 Amrit Raj Garg Aug 04, 2020
Boom bam ye sab choro jake P.U.B.G khelo

 Shubham Choudhary May 02, 2020
With the observation of graph of Sin X we can see that
limit X tends to pie/2+ and X tends to pie/2- is less than one so it's gif is zero

 Sanghamitra Maithani Sep 27, 2020
As differentiation of sin X becomes cos X and cos π/2 =0

 Santosh Sahoo Apr 01, 2019
Sin pi by 2 = sin90degree = 0
so the option c is correct......l hope you understand

 Nandlal Rajak Apr 05, 2020
Sin90=1

 Armesha Sharma May 25, 2020
Why do u mean by cos???

 Ashish Agrawal Jun 22, 2020

 Raushan Kumar Sep 15, 2020
Ans is A

 Sahil Deshwal Sep 27, 2020
As limit tends sinx becomes approx equal to 1 but not equal to 1 . hence[<1]=0>

 Bhukya Nithin May 16, 2020
When we consider the value of sin[pi/2] it gets in between 0 and 1.
And we know that, [ ] this bracket indicates the greatest integer function.
therefore,when we consider the both left hand limit and right hand limit they both equal each other to 0.
that's why 0 is the correct answer.

 Vidya Aasthaanam Jun 11, 2020
Ans is 0 because x->pie÷2 therfore sinx->1 but not 1 exact it near 1 but not 1 and then apply greatest integer ans is 0

 Nilimesh Nayak Jul 20, 2020
The value of sinπ\2 not accurate 1.Because the value of X is less than or equal to 1andgrater than or _1.

 Manoj Patel Jun 11, 2020
Value of sin90 is not equal to one it is less than one so GIF function of less than one is 0

 Aman Tiwari Jul 06, 2020
Since it's value at left and right limit less than 1 so integral part will be 0 at both limt

 Simranjeet Kaur Jun 15, 2020
C is the right answer

 Rohit Kumar Sep 19, 2020
And (c)

 Sahil Yadav Mar 28, 2020
Sin(π\2)=1 so, option A is correct answer

 Mahalakshmi Maha Apr 25, 2020
Actually sinπ/2 is 1, but the question is greatest integer function of sinx i.e, [sinx] and the value is not exactly 1 as limit approaches π/2 and not exactly π/2. So it is to be considered as 0 by the greatest integer function rule. So answer is 0. Option C is correct.

 Shubham Nayan May 19, 2020
In these types of questions we have to consider g.i.f .As sinx is approaching 1 i.e it is less than 1, the answer will be 0.But if the whole limit would have been in the gif the answer would be 1.

 Taranjeet Singh Jun 12, 2020
As limit x approaches to π\2.now put value in (sinx) from R.H.L then we get + sin π/2 and from L.H. L side we get -sinπ/2. And at 0 we simply get sinπ/2 and we also know that sin 90 is zero so in above all three values become 0 from R. H. L & L. H. L also it is 0 at x= 0.hence

 Sarvesh Gaikwad May 26, 2020
Answer is C BECAUSE SINX IS LESS THAN 1 AND BOX OR GREATEST INTEGER FUNCTION OF LESS THAN 1 IS ZERO

 Mansi Sharma Jun 10, 2020
Sin90 is 1

 Rahul Kumar Jun 14, 2020
LHL :- h => 0 [Sin(π/2 - h)] = limh => 0 [Cosh]
so,
Cosh => 1 so, it's become zero.
RHL :- h=> 0 [sin ( π/2 + h)] = lim h=>0 [Cosh]
here h tending to zero means cosh tending to. 1so it's also zero.
so zero answer

 Rajo Mar 12, 2020

 Mukul Sindhi Jun 22, 2020
A) 1

 Shan Mukherjee Apr 12, 2020
Sin(x) tending to 90° means either greater than 90° or less then 90° in both the cases it will less the zero according to it's graph
hence gif of any number less the one is absolute zero.
good question

 C Ramamohanreddy Apr 21, 2020
The question really mean that if x approach 90*then sinx approach what, yes it approach 1,but not exactly 1,it may be 0.99 something ,you may think it may be 1.01 but sin value doesn't exceed 1.so G.I.F of less than one is zero

 Sontosh Dey Apr 15, 2020
Yes option c is correct

 Ganji Manaswini Apr 21, 2020
Option c is the answer

 Raghav Shukla May 09, 2020
Just see limit is in greatest integer function , since range of sinx is -1 to 1
.From graph you can see when you see left hand limit you got a number less than 1 whose greatest integer is zero(0) similarly when you see right hand limit you got a number less than 1 whose greatest integer is zero(0)
SINCE RHL=LHL=0
SO LIMIT OF FUNCTION EXISTS AT pi/2 and equal to zero(0)

 Ankit Singh Apr 14, 2020
Option c is the correct answer

 Bibhabasu Dutta Jul 26, 2020
No bro correct answer is D

 Srihasa Bathula Aug 06, 2020
Sinπ/2= sin180/2

sin90 =0

 Jayanthan Ips Dec 07, 2020
Option a is th correct answer

 Nitesh Pal Pal Dec 10, 2020
[sinx] is zero at pi/2+ (at GIF)
[sinx]is zero at pi/2-(at LIF)
hence , LIF=GIF (it is a continuous)
So, zero is the answer..
the figures shows parabolic nature..
..

 Pragati Ugale Ugale Jan 17, 2021
Lt sin x .... that is simply take derivative of sin x...
derivative of sin x is cos x...
now put value of x
cos π/2 = 0..
hence correct option is C
that is 0

 Srinivasulu Yendikatla Y Jan 21, 2021
Step values of any rational number is an integer. sin (pi/2) value is 1. As x tends to pi/2 on LHS and RHS sin x is less than 1. so step value is 0.

 Akhils Pillai May 01, 2020
Sinpi/2=0

 Konduru Premsai Apr 28, 2020
D) As RHL not equal to LHL.

 Omprakash Nain May 31, 2020

 Harsh Raaj Aug 30, 2020

 Anibesh Behera Dec 02, 2020
Ans is Zero . option C

 Deekshita Meduri Nov 11, 2020
From periodicity it's right
and
sin x equal to 0

 Nitesh Shukla Nov 20, 2020
Correct is c

 Chintu Yadav Oct 19, 2020
Correct answer

 Abotula Saisandeep Oct 29, 2020
Yes because differentiation of sinx is cosx

 Evil Beings Jul 16, 2020
This is the greatest integer funtions which always shows the smallest integral value of the function inside

 Stone Smith Mar 28, 2020
Op 1

 Ravi Teja Mar 30, 2020
As [ ]is not given as g.i.f ans may be opt A
even if [ ]is given as g.i.f then limit does not exists....

 Vijendra Vaishya May 04, 2020

 Keshav Aggarwal Jun 22, 2020
Correct answer is c by drawing its graph and make some transformations u will get ur result c option

 Deepak Yadav May 21, 2020
Since it is approaching towards pi/2 not exact pi/2 so the value is not exact 1

 Crazy Creature Creature Jan 14, 2021
GIF of 1 is 0

sin pi/2 = 1

 Deepak Kumar Jun 20, 2020
As x approach the 1/2
and when we put the value of x in the question
ie.
sinx
put x=1/2
sin1/2=0
so option c is the correct answer of this question

 Priyanshu Maurya Jun 05, 2020

 Sidram Jamdade May 06, 2020

 Bandari Veeresham Jun 29, 2020
Here as the x tends to pi by 2 function tends to 1 but not equals to 1 so the graph lies between y=0 and 1
in this greatest integer function is 0 Hence answer is 0

 Neet Aspirant Nov 03, 2020
Take the first derivative of sinx which is equal to cosx.
Then substitute x=pi/2 to get the answer =cospi/2=0

 Harsh Srivastava Jun 28, 2020
Because this is greatest integer fnc the value will become zero till π/2 at π/2 it will become one hence answer is 0

 Shubham Shrivastav Jul 30, 2020
(a)1 is correct ans.

 Atul Kumar Oct 30, 2020
Magnificent

 Its Kings Club May 25, 2020
It is not an indeterminate form so limit will be applied directly.
sin90 is 0