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Question

limx1(x3+2x2+x+1x2+2x+3)1cos(x1)(x1)2=

A
e
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B
e1/2
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C
1
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D
(56)1/2
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Solution

The correct option is C (56)1/2
limx1(x3+2x2+x+1x2+2x+3)1cos(x1)(x1)2
=(56)limx12sin2(x12)(x1)2
=(56)12limx1sin(x12)(x12)2=(56)1/2

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