Start with a square one unit by one unit:. 1. This is an example of an infinite series. 1. This series converges (approaches a limiting value.). Many series do not converge:. This converges to if , and diverges if. is the interval of convergence. Geometric Series:.
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This is an example of an infinite series.
This series converges (approaches a limiting value.)
Many series do not converge:
is the interval of convergence.
In a geometric series, each term is found by multiplying the preceding term by the same number, r.
Find .the sum of the series, if possible.
Diverges, no sum
Find .the function which is represented by the given series for those x for which the series converges.
Worksheet: Geometric Series