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(a) Write the first four nonzero terms and the general term for the Taylor series expansion of ƒ(x) about x = 0.

(b) Use the result from part (a) to write the first three nonzero terms and the general term of the series expansion about x = 0 for g (x) = ((e^(x / 2)) – 1)/x

For part a I got

P4 = 1 + x/2 + ((x/2)^2)/2! + ((x/2)^3)/3!

E ((x/2)^n)/n!

E = summation sign n=0 to infinity

For part b I got, which was marked wrong,

x-1 + ((x/2)2 – 1)/(2!x) + ((x/2)3 – 1)/(3!x)

E ((x/2)n - 1)/(n!x)

On my paper my teacher marked only –1 once and I am not for sure what that means. Any help on part B would be greatly appreciated.