Question

What is `\lim _ { n \rightarrow 0} \frac { n ( 2^ { x } - 1) } { 1- \cos x }`?

Answer 1

`0`

Explanation:

`lim_(n->0)(n(2^x-1))/(1-cos(x))=(2^x-1)/(1-cos(x))*lim_(n->0)(n)=0`

`(2^x-1)/(1-cos(x))*0=0`