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BCECE Engineering BCECE Engineering Solved Paper-2008

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

    A)  \[e\]      

    B)                         \[p\]      

    C)  \[q\]      

    D)         0

    Correct Answer: C

    Solution :

    \[\underset{n\to \infty }{\mathop{\lim }}\,{{({{q}^{n}}+{{p}^{n}})}^{1/n}}=q\underset{n\to \infty }{\mathop{\lim }}\,{{\left[ 1+{{\left( \frac{p}{q} \right)}^{n}} \right]}^{1/n}}\] = q                


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