GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

Let

f (x) = \:e^{x + x^{2}}

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.

1 + x + x²+ x³
1 + x + $\;{3}/{2}$ x² + x³
1 + x + $\;{3}/{2}$ x² + $\;{7}/{6}$ x³
1 + x + 3x² + 7x³

Validate

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