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Question

limx3x49x2+43x15


Solution

A:limx3x49x2+43x15

limx3(x2)2(3)2x2+53x3x15

limx3(x23)(x2+3)x(x+53)3(x+53)

limx3(x3)(x+3)(x2+3)(x3)(x+53)

=limx3(x3)(x+3)(x2+3)(x3)(x+53)

=limx3(x+3)(x2+3)(x+53)

=(3+3)(3+53)=(23)(6)63=2

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