If f(x)=x^(n), then the value of f(1)+(f...

If `f(x)=x^(n)`, then the value of `f(1)+(f^(1)(1))/(1)+(f^(2)(1))/(2!)+....+(f^(n)(1))/(n!)`, where f(x) denotes the rth order derivative of f(x) with respect to x, is

A

a) n

B

b) `2^(n)`

C

c) `2^(n-1)`

D

d) None of these

Verified by Experts

The correct Answer is:

B

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