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Question-164783

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Question Number 164783 by mkam last updated on 21/Jan/22
Answered by Mathspace last updated on 21/Jan/22
=lim_(x→3) ((f(x)−f(3))/(x−3))×((x−3)/((x−3)(x+3))) =lim_(x→3) ((f(x)−f(3))/(x−3))×lim_(x→3) (1/(x+3)) =(1/6)f^′ (3)
=limx→3f(x)−f(3)x−3×x−3(x−3)(x+3)=limx→3f(x)−f(3)x−3×limx→31x+3=16f′(3)

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