Explore Exams
Login Signup
Sign in Open App
JEE Exam  >  JEE Test  >  Mathematics (Maths) Main & Advanced  >  Test: Limit Of A Sum - JEE MCQ

Limit Of A Sum - Free MCQ Practice Test with solutions, JEE Maths


MCQ Practice Test & Solutions: Test: Limit Of A Sum (10 Questions)

You can prepare effectively for JEE Mathematics (Maths) for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Limit Of A Sum". These 10 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Limit Of A Sum - Question 1
Save

In the definite integral  , the variable of integration is called​

Test: Limit Of A Sum - Question 2
Save

Express the shaded area in the form of an integral.

Detailed Solution: Question 2

As the curve goes from c to d and the equation is x = f(y)
So the shaded area is ∫(c to d)f(y)dy

Clear all your doubts with EduRev
Test: Limit Of A Sum - Question 3
Save

Evaluate as limit of  sum 

Detailed Solution: Question 3

 ∫(0 to 2)(x2 + x + 1)dx
= (0 to 2) [x3/3 + x2/2 + x]½
= [8/3 + 4/2 + 2]
 = 40/6
= 20/3

Test: Limit Of A Sum - Question 4
Save

Evaluate as limit of sum 

Detailed Solution: Question 4




Test: Limit Of A Sum - Question 5
Save

The value of definite integral depends on

Test: Limit Of A Sum - Question 6
Save

Find   

Detailed Solution: Question 6

Using trigonometric identities, we have
cos2x=cos2x-sin2x  -(1) and cos2x+sin2x =1 -(2)
cos2x=1-sin2x , substituting this in equation (1) we get 
cos2x=1-sin2x-sin2x=1-2sin2x
So,cos2x=1-2sin2x
2sin2x=1-cos2x


 

Test: Limit Of A Sum - Question 7
Save

Evaluate as limit of  sum  ​

Test: Limit Of A Sum - Question 8
Save

The value of    is:​

Detailed Solution: Question 8

Test: Limit Of A Sum - Question 9
Save

Evaluate as limit of sum 

Detailed Solution: Question 9

 ∫(0 to 4)3x dx
= [3x2/2] (0 to 4)
[3(4)2] / 2
= 24 sq unit

Test: Limit Of A Sum - Question 10
Save

The value of   is:

Detailed Solution: Question 10

∫(0 to 3)1/[(3)2 - (x)^2]½
∫1/[(a)2 - (x)2] = sin-1(x/a)
= [sin-1(x/3)](0 to 3)
= sin-1[3/3] - sin-1[0/3]
= sin-1[1]
= π/2

173 videos|510 docs|154 tests
Join Course
Information about Test: Limit Of A Sum Page
In this test you can find the Exam questions for Test: Limit Of A Sum solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Limit Of A Sum, EduRev gives you an ample number of Online tests for practice
Download as PDF
;

About this JEE Practice Test

This test contains 10 MCQs on Limit Of A Sum with detailed solutions for each question. It is part of the Mathematics (Maths) for JEE Main & Advanced course on EduRev, designed to align with the current JEE syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more JEE Study Resources

If you found this Limit Of A Sum MCQ Test helpful, you can further enhance your JEE preparation with in-depth courses on EduRev, for all the subjects and topics available in Mathematics (Maths) for JEE Main & Advanced course. The course offers:
  • Video Lectures: covering all the topics of Mathematics (Maths) for JEE Main & Advanced
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for JEE preparation
  • MCQ Test: variety of questions as per the pattern of JEE exam
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup