The sum of the infinite series
The sum of infinite geometric series can be obtained by the formula,
Here, a is first term, r is common ratio and
Expand the summation as follows:
It is observed from the series that the first term is 12 and common ratio is (−0.7) and common ratio is less than 1.
Substitute 12 for a and (−0.7) for r in equation (1).
Thus, the sum of the infinite series is 7.06.
Answer is given below (on video)
Use the binomial series to find the Maclaurin series for the function.