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Question

limx0ex+sinx1log(1+x)=

A
1
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B
13
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C
23
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D
2
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Solution

The correct option is D 2
limx0ex+sinx1log(1+x)
=limx0(1+x+x22!+....)+(xx33!+.....)1x12x2+.......
=limx0x(1+x2!+....)+x(1x23!+.....)x(112x+.......)=(1+0)+(10)10=2

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