If the function is continuous at , what is the value of ?

Answer and explanation

Correct answer: B.

  1. Step 1: For to be continuous at , we must have .
  2. Step 2: Evaluate the limit: .
  3. Step 3: Since , the limit is . Thus .
Answer
.
Why not the others: inverts the ratio; forgets the factor of in the denominator; assumes the limit of any sine fraction is .

Practise more Limits, continuity and differentiability.

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