equals

Answer and explanation

Correct answer: D.

  1. Step 1: Use the Taylor series expansion for sine: , which gives .
  2. Step 2: Integrate term by term: .
  3. Step 3: Divide by and evaluate the limit as : .
Answer
.
Why not the others: forgets the upper limit and its factor of .

Practise more Integration.

Free questions with an explanation for every one, and full timed JEE Main mock tests.

All Integration questionsTake a mock test

More Integration questions