JEE Main & Advanced Sample Paper JEE Main Sample Paper-26

  • 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)  \[\frac{1}{4}\]

    Correct Answer: C

    Solution :

    Use series expansion.

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