For the function F (s) = (s+5)/s(s^2+2s+5), after splitting this function into the partial fractions. What is the expression of F (s) after splitting into partial fractions is?
(a) 1/s-1/2(s+1-j2) -1/2(s+1+j2)
(b) 1/s+1/2(s+1-j2) -1/2(s+1+j2)
(c) 1/s+1/2(s+1-j2) +1/2(s+1+j2)
(d) 1/s-1/2(s+1-j2) +1/2(s+1+j2)
The question was asked during an interview for a job.
The question is from Inverse Transforms topic in chapter Intoduction to the Laplace Transform of Network Theory