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JEE Main & Advanced Sample Paper JEE Main Sample Paper-46

  • question_answer
    If\[0<a<b,\],then \[\underset{x\to \infty }{\mathop{\lim }}\,\,{{({{b}^{n}}+{{a}^{n}})}^{1/n}}\] is equal to

    A)  e                    

    B)  a               

    C)  b                    

    D)  None of these

    Correct Answer: C

    Solution :

     \[\underset{n\to \infty }{\mathop{\lim }}\,\,b\,{{\left[ 1+{{\left( \frac{a}{b} \right)}^{n}} \right]}^{1/n}}=b{{(1+0)}^{0}}=b\,\left( \because \,\,0<\frac{a}{b}<1 \right)\]


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