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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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