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