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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    If \[\underset{x\to 0}{\mathop{Lim}}\,\int\limits_{0}^{x}{\frac{{{t}^{2}}dt}{(x-\sin x)\sqrt{a+t}}}=1.\]then a is equal to

    A)  1                                            

    B)  2

    C)  3                                            

    D)  4

    Correct Answer: D

    Solution :

    \[\underset{x\to 0}{\mathop{Lim}}\,\frac{\int\limits_{0}^{x}{\frac{{{t}^{2}}dt}{\sqrt{a+t}}}}{x-\sin \,x}\,\,\,\,\,\,\,\left( \begin{matrix}    0  \\    0  \\ \end{matrix} \right)=1\,\,\,\,\,\Rightarrow \,\,a=4\]


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