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For the function F (s) = (s^2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is?(a) 1/5(b) 1/10(c) 1/15(d) 1/20This question was posed to me in an interview for internship.This intriguing question comes from Inverse Transforms topic in division Intoduction to the Laplace Transform of Network Theory

Answer» CORRECT answer is (c) 1/15

For explanation: To obtain the CONSTANT A, MULTIPLY the given EQUATION with (s) and putting s = 0. The co-efficient of the term 1/s is A = SF (s)|s=0 = (s^2+s+1)/(s+5)(s+3)|s=0 =1/15.


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