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For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is?

For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of the term 1/s is? Correct Answer 1/15

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 = (s2+s+1)/(s+5)(s+3)|s=0 =1/15.

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