JEE Main & Advanced Sample Paper JEE Main - Mock Test - 42

  • question_answer
    \[f(x)=(tan{{x}^{5}}){{e}^{{{x}^{3}}}}^{sgn{{x}^{7}}}\] is-

    A) An even function

    B) An odd function

    C) Neither even nor odd function

    D) None of these

    Correct Answer: A

    Solution :

    [b] \[f\left( x \right)=(\underset{O}{\mathop{\underset{\downarrow }{\mathop{tan}}\,}}\,({{\underset{(O)}{\mathop{\underset{\downarrow }{\mathop{x}}\,}}\,}^{5}}))\text{ }{{\underset{{{e}^{O}}}{\mathop{\underset{\downarrow }{\mathop{e}}\,}}\,}^{{{x}^{3}}}}\underset{\times O}{\mathop{\underset{\downarrow }{\mathop{sgn}}\,}}\,\text{ (}{{\underset{(O)}{\mathop{\underset{\downarrow }{\mathop{x}}\,}}\,}^{7}}\text{)}\] \[=O\times {{e}^{O\times O}}=O\times {{e}^{E}}\] \[=O\times E=O.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner