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  3. RAJASTHAN ­ PET

RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    \[\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{n}}-{{a}^{n}}}{x-a}\]is equal to

    A)  0               

    B)  \[n{{a}^{n-1}}\]

    C)  \[n{{a}^{n}}\]             

    D)  \[\infty \]

    Correct Answer: B

    Solution :

     \[\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{n}}-{{a}^{n}}}{x-a}=\underset{x\to a}{\mathop{\lim }}\,\frac{n{{x}^{n-1}}-0}{1}=n.{{a}^{n-1}}\]


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