Let $n \in \mathbb{N}$ and let $f(x)=x^n$ for all $x$ in $\mathbb{R}$. Then
$f(1)+\frac{f^{(1)}(1)}{1!}+\frac{f^{(2)}(1)}{2!}+\cdots+\frac{f^{(n)}(1)}{n!}$
is equal to

• A

  $1$
• B

  $2^{n-1}$
• C

  $(n+1) 2^n$
• Correct answer
  D

  $2^n$

Hence, the correct answer is option: 'D'.