Problem 27RE

Taylor series Write out the first three terms of the Taylor series for the following functions centered at the given point a. Then write the series using summation notation.

f(x) = e3x, a = 0

Solution 27RE

Step 1:

In this problem we have to find the first three terms of the Taylor polynomial for function with the given center point a=0.

Taylor series is given by

In our case,

So, what we need to calculate derivatives, evaluate them at the given point.