In order that the function $f(x)=(x+1)^{\large\cot x}$ is continuous at $x=0$. f(0) must be defined as

Question

$(a)\;f(0)=0\qquad(b)\;2\qquad(c)\;f(0)=\large\frac{1}{e}$$\qquad(d)\;None\;of\;these$