JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{2}}-{{a}^{2}}}{x-a}=\] [RPET 1995]

    A)                 4a

    B)                 1

    C)                 2a

    D)                 0

    Correct Answer: C

    Solution :

                    \[\underset{x\to a}{\mathop{\lim }}\,\,\,\frac{{{x}^{2}}-{{a}^{2}}}{x-a}=\underset{x\to a}{\mathop{\lim }}\,\,\,(x+a)=2a.\]


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