##### Example on Limits

$\lim_{x\to4} {sin(x - 4) \over x - 4} = ?$

Let ,

x - 4 = h

∴ when, $x \to 4$ then, $h \to 0$

Now, it becomes

$\lim_{x\to4} {sin(x - 4) \over x - 4} = \lim_{h\to0} {sin(h) \over h} = 1$

Hence, Ans = 1