question_answer

Let \[f(x)\left\{ \begin{matrix}    \frac{{{(\sin x)}^{13}}-\ell n\left( 1+\sin x{{)}^{13}} \right)}{{{(\tan x)}^{26}}} & x\ne 0  \\    k, & x=0  \\ \end{matrix} \right.\]. If \[f(x)\] is continuous at \[x=0\] then the value of k is

A)  1                    

B)  2

C)  \[\frac{1}{2}\]                                     

D)  \[\frac{1}{4}\]