Let f : R → R be such that f (1) = 3 and f ′(1) = 6, then _ x 0 ( f(1+x) f(1) )^ 1 x…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : R→R be such that f (1) = 3 and f ′(1) = 6, then
\[\lim _{x \rightarrow 0}\left(\frac{f(1+x)}{f(1)}\right)^{\frac{1}{x}} \text { equals }\]
\[\lim _{x \rightarrow 0}\left(\frac{f(1+x)}{f(1)}\right)^{\frac{1}{x}} \text { equals }\]
- 1
- e2
- e3
Answer
(C) e 2
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