# GATE Papers >> CSE >> 2016 >> Question No 13

Question No. 13

$\lim\limits_{x\rightarrow4}\frac{\sin(x-4)}{x-4}=\_\_\_\_\_\_\_\_\_.$

##### Answer : 1.0 : 1.0

Solution of Question No 13 of GATE 2016 CSE Paper

$\lim\limits_{x\rightarrow4}\frac{\sin(x-4)}{x-4}$

Let x - 4 = t not as x → 4

So the requires limit is $\lim\limits_{t\rightarrow0}\frac{\sin(t)}t=1$