- a)1
- b)– 1
- c)0
- d)none of these

Correct answer is option 'C'. Can you explain this answer?

Related Test: Test: Continuity And Differentiability (CBSE Level) - 1

46 Answers

Vikas Saini
answered
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

Vishwajeet Dhumal
answered
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).

Rajendra Singh Bhandari
answered
2 weeks ago

By putting pie/2 in box of sinx it will be less than 1 so box value will be zero

Harsh Gujalwar
answered
2 days ago

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
answered
2 weeks ago

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

then the value is always less than 1 if we apply step function it is zero

Shubham Choudhary
answered
4 weeks ago

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

limit X tends to pie/2+ and X tends to pie/2- is less than one so it's gif is zero

Santosh Sahoo
answered
Apr 01, 2019

Sin pi by 2 = sin90degree = 0

so the option c is correct......l hope you understand

so the option c is correct......l hope you understand

Bhukya Nithin
answered
2 weeks ago

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.

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.

Mahalakshmi Maha
answered
Apr 25, 2020

Actually sinÏ€/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 Ï€/2 and not exactly Ï€/2. So it is to be considered as 0 by the greatest integer function rule. So answer is 0. Option C is correct.

Shan Mukherjee
answered
Apr 12, 2020

Sin(x) tending to 90Â° means either greater than 90Â° or less then 90Â° 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

hence gif of any number less the one is absolute zero.

good question

C Ramamohanreddy
answered
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

Raghav Shukla
answered
3 weeks ago

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)

.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)

Rocky Srk
answered
Mar 29, 2020

Sinx has value a little less then 1 in limit... here sinx is under integral function [ ] so option C is correct...

Shubham Nayan
answered
2 weeks ago

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.

Sarvesh Gaikwad
answered
3 days ago

Answer is C BECAUSE SINX IS LESS THAN 1 AND BOX OR GREATEST INTEGER FUNCTION OF LESS THAN 1 IS ZERO

Ravi Teja
answered
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....

even if [ ]is given as g.i.f then limit does not exists....

Deepak Yadav
answered
2 weeks ago

Since it is approaching towards pi/2 not exact pi/2 so the value is not exact 1

Its Kings Club
answered
4 days ago

It is not an indeterminate form so limit will be applied directly.

sin90 is 0

sin90 is 0

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