Use known Maclaurin series and operations on power series to nd Maclaurin series for the following functions:  (b) (e^(-x^3) -1 +x^3)/x

Does this series converge or diverge? Give the test used ((11n-6)/(1+12n))^n Start at n=1 End at n=inf

Using the Maclaurin expansion of ?^?, sin(x)and ?n(1 + ?) find the series expansion up to the 4th non-zero term of thefollowing functions: -e^(x+1) -sin(x/2)

Difficiate the tay lov Series @ for fcx) = ln (1+x) and as summation b the idanity the function differmitenl scries at write it Centeved represented by