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Question: f(x) = \(f^{'}(1) = 6\), if function is continuous at x = 0 then k is...

f(x) = f′(1)=6f^{'}(1) = 6, if function is continuous at x = 0 then k is

A

1

B

2

C

3

D

4

Answer

1

Explanation

Solution

f(0)=k=lim⁡x→0\lim _ { x \rightarrow 0 } (cos x)1/x = elim⁡x→0(cos⁡x−1x)\mathrm { e } ^ { \lim _ { x \rightarrow 0 } \left( \frac { \cos x - 1 } { x } \right) } =eº = 1