Binomial series

a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function.

b. Use the first four terms of the series to approximate the given quantity.

f(x)= (1 +x)2/3; approximate 1.022/3

Solution 34E

Step 1:

Given that

f(x)= (1 +x)2/3; approximate 1.022/3