Solution Found!
Geometric/binomial series Recall that the Taylor series
Chapter 8, Problem 64E(choose chapter or problem)
QUESTION:
Geometric/binomial series Recall that the Taylor series for f(x) = 1/(1 - x) about 0 is the geometric series \(\sum_{k=0}^{\infty} x^{k}\). Show that this series can also be found as a case of the binomial series.
Questions & Answers
QUESTION:
Geometric/binomial series Recall that the Taylor series for f(x) = 1/(1 - x) about 0 is the geometric series \(\sum_{k=0}^{\infty} x^{k}\). Show that this series can also be found as a case of the binomial series.
ANSWER:Solution 64E
Step 1:
We know that the Taylor series for about 0 is the geometric series that is