Define $f(0)$ so that $f(x)=(x+1)^{\cot x}$ becomes continuous at $x=0$

Question

$\begin{array}{1 1}(A)\;f(0)=1 \\(B)\;f(0)=2 \\(C)\;f(0)=0 \\(D)\;f(0)=e \end{array}$