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Question: If function f(x) = \(e^{1/2}\); is continuous at x = 0 then f(0) is equal to...

If function f(x) = e1/2e^{1/2}; is continuous at x = 0 then f(0) is equal to

A

ep

B

e–p

C

0

D

e1/p

Answer

e1/p

Explanation

Solution

f(0) = limx0\lim _ { x \rightarrow 0 } (1+xP)1/x\left( 1 + \frac { \mathrm { x } } { \mathrm { P } } \right) ^ { 1 / \mathrm { x } } = = e1/P