Exam Questions Paper - ECE Questions and Answers

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In the Taylor series expansion of exp(x) + sin(x) about the point x = p, the coefficient of (x - p)² is

exp (p)

0.5 exp (p)

exp (p) + 1

exp (p) - 1

Answer : Option B

Explanation :

f(x) = e^x + sin x

Coefficient of (x - p)² = 1 / 2! f''(x)

f'(x) = e^x + cos x

f'(x) = e^x - sin x

f''(x)|_x=p = e^p

Thus coefficient of (x - p)² = 0.5 .

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