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

Question No. 13 CSE | GATE 2016

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


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 $

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