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Question

limx0esinxsinx1x2 is equal to

A
13
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B
1
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C
e
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D
12
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Solution

The correct option is D 12
limx0esinxsinx1x2=limx0(1+sinx1!+sin2x2!+sin3x3!+...)sinx1x2=limx0sin2xx2(12!+sinx3!+...)=12

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