Example on Limits

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

Answer

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

 

 

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