- #1
mvpshaq32
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Homework Statement
[tex]E[/tex] from 1 to infinity [2+(-1)^n]/[n(n^1/2)]
Homework Equations
We only have had learned comparison tests, power series, and divergence tests.
The Attempt at a Solution
I decided to split the function into its numerator multiplied by its denominator:
2+(-1)^n * 1/[n(n^1/2)]
Then I perform the divergence test for the numerator in which the limit doesn't exist, meaning it diverges and the p-series test for the denominator whose ratio is 3/2 which means it converges. I then made the assumption that a diverging function multiplied by a converging function would diverge. But I don't know if I am allowed to do this.