If \( f(x)=x^{n} \), then the value of (1) \( +\frac{f^{1}(1)}{1}+\frac{f^{2}(1)}{2 !}+\cdots+\f...
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0If \( f(x)=x^{n} \), then the value of
(1) \( +\frac{f^{1}(1)}{1}+\frac{f^{2}(1)}{2 !}+\cdots+\frac{f^{n}(1)}{n !} \), where \( f^{r}(x) \) denotes the th order derivative of \( f(x) \) with respect to \( x \), is
(A) \( n \)
(B) \( 2^{n-1} \)
(C) \( 2^{n} \)
(D) None of these
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