Calculate the geometric series? Please
1 Answer
This is not geometric, but using the Maclaurin series expansion for arctangent, we see its value is
Explanation:
A geometric series is generally in the form
We have the series
As a result of the
Geometric series do not have the index
However, we can still find the exact value of this series.
Recall the following Maclaurin series expansion for the arctangent:
For our series, we can see that
Well,
So, that's why in the given summation,
Then, since our series is equal to