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JEE Main & Advanced Mathematics Limits, Continuity and Differentiability Question Bank Numerical Value Type Questions - Continuity and Differentiability

  • question_answer
    Let \[f(a)=g(a)=k\] and their nth derivatives \[{{f}^{n}}(a),{{g}^{n}}(a)\] exist and are not equal for some n. Further if \[\underset{x\to a}{\mathop{\lim }}\,\frac{f(a)g(x)-f(a)-g(a)f(x)+f(a)}{g(x)-f(x)}=4,\] then the value of k is

    Answer:

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