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Question

Evaluate
limx3(1x2+4x+3+1x2+8x+15)

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Solution

limx3(1(x+3)(x+1)+1(x+3)(x+5))

limx3[1(x+3)(x+5+x+1(x+5)(x+1))]

limx31x+3.2(x+3)(x+5)(x+1)

limx32(x+5)(x+1)=2(3+5)(3+1)=22(2)=12

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