Finding Series Find two series that demonstrate the result of Exercise 60.
To calculate: Two series which show that is converging, when the non-negative series converges.
The series A is a convergent series,.
Consider the test for convergence of p-series:
It Converges if
It Diverges if
Here, if the non-negative series given as converges then will also converge.
Let us consider a non-negative series,
With the help of the test for convergence of p-series, is convergent.
Now, direct comparison for implies,
Thus, the series, is convergent
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