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Question

limx1 x3+2x2+x+1x2+2x+31-cos x-1x-12

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Solution

limx1x3+2x2+x+1x2+2x+31-cos x-1x-12=limx1 1+x3+2x2+x+1x2+2x+3-11-cos x-1x-12=elimx1x3+2x2+x+1-x2-2x-3x2+2x+3×1-cos x-1x-12 =elimx1x3+x2-x-2x2+2x+3×2 sin2 x-124×x-124 =e1+1-1-21+2+3×12=e-112

Disclaimer: The solution given in the book is incorrect. However, the solution given here has been created according to the question given in the book.

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