6. What is the Taylor series for f(x) = ex about the point x = 1?

 

A.

B.

C.

D.

E.

 

Solution: The answer is D

 

The Taylor series expansion of f(x) about the point x = a is given by,

Since, f(x) = ex, then

So that, the Taylor series expansion for f(x) = ex about the point x = 1, is defined as,