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The polynomial of least degree such that...

The polynomial of least degree such that `lim_(xto0)(1+(x^(2)+f(x))/(x^(2)))^(1//x)=e^(2)` is

A

`x^(2)`

B

`x^(3)+2x^(2)`

C

`-x^(2)+2x^(3)`

D

None of these

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Verified by Experts

The correct Answer is:
C
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