Taylor Series of e^(x+x^2) up to x^3 | EC GATE 2017 Q26 | Examprev

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EC > GATE 2017 SET-1 > Taylor Series

Let f(x)=e^x+x² for real x. From among the following, choose the Taylor series approximation of f(x) around x=0 which includes all powers of x less than or equal to 3.

A

1+x+x²+x³

B

1+x+3/2x²+x³

C

1+x+3/2x²+7/6x³

D

1+x+3x²+7x³

Explanation

Correct : c

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