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Question

limx0ex2cosxsin2x is equal to:

A
2
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B
3
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C
54
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D
32
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Solution

The correct option is D 32
limx0ex2cosxsin2x
Use L'Hospital Rule
limx02xex2+sinx2sinxcosx=limx02xex2+sinxsin2x
Again use L'Hospital's Rule
limx04x2ex2+2ex2+cosx2cos2x=32

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