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Question: Function f (x) = \(\lim_{x \rightarrow 0}\left\{ \frac{f(1 + x)}{f(1)} \right\}^{\frac{1}{x}}\) wher...

Function f (x) = lim⁡x→0{f(1+x)f(1)}1x\lim_{x \rightarrow 0}\left\{ \frac{f(1 + x)}{f(1)} \right\}^{\frac{1}{x}} where [.] is GIF. Is

A

Continuous at integers only

B

Continuous in R+ only

C

Continuous in R– only

D

Every where continuous

Answer

Every where continuous

Explanation

Solution

Basically f(x) = 0 ∀ x ∈ R