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Question

The value of limx0(1+5x21+3x2)1x2 is

A
e2
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B
e
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C
e3
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D
e4
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Solution

The correct option is B e2
limx0(1+5x21+3x2)1x2
=limx0(1+5x2)1x2limx0(1+3x2)1x2
=e5x2×1x2e3x2×1x2
=e5e3
=e2

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