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Question

The value of limxx+cos xx+sin xis


A

-1

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B

0

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C

1

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D

2

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Solution

The correct option is C

1


limxx+cos xx+sin x[Puttingx=1h;as x,h 0]=limh 01h+cos(1h)1h+sin(1h)=limh 01+h cos 1h1+h cos 1h=1+01+0⎢ ⎢ ⎢1 sin 1h1 and 1 cos1h1, where h0,hcos 1h0 and hsin1h0⎥ ⎥ ⎥=1


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