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Question

Solve :
limx1[3x2+x24x2+2x3]

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Solution

We have,
limx1[3x2+x24x2+2x3]=limx1[3(x+2)(x1)4(x1)(x+3)]
=limx1[3(x+3)4(x+2)(x1)(x+2)(x+3)]
=limx1[3x+94x8(x1)(x+2)(x+3)]
=limx1x+1(x1)(x+2)(x+3)=limx1(x1)(x1)(x+2)(x+3)=13×4=112

Hence, this is the answer.

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