Question

What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x^2sec x}{sin⁡ x}\)?

(a) 3

(b) 2

(c) 1

(d) 0

I had been asked this question in an internship interview.

This intriguing question originated from Limits of Trigonometric Functions topic in chapter Limits and Derivatives of Mathematics – Class 11

Answer 1

Right answer is (d) 0

For explanation: \(\lim\limits_{x \rightarrow 0}\frac{x}{sin⁡ x}\)x \(\lim\limits_{x \rightarrow 0}⁡\frac{x}{cos⁡ x}\)

= 1 x 0

= 0