Question

Find \(=lt_{x\rightarrow 0}\frac{sin(x)}{tan(x)}\)

(a) 0

(b) 1

(c) ∞

(d) 2

I got this question by my school principal while I was bunking the class.

This is a very interesting question from Indeterminate Forms topic in division Differential Calculus of Engineering Mathematics

Answer 1

Correct choice is (b) 1

Explanation: \(=lt_{x\rightarrow 0}\frac{\frac{sin(x)}{x}}{\frac{tan(x)}{x}}\)

\(=\frac{lt_{x\rightarrow 0}\frac{sin(x)}{x}}{lt_{x\rightarrow 0}\frac{tan(x)}{x}}\)

=1/1=1