- #1
nlsherrill
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Homework Statement
For x[itex]_{n}[/itex] given by the following formula, establish either the convergence or divergence of the sequence [itex]X = (x_{n})[/itex]
[itex]x_{n} := (-1)^{n}n/(n+1)[/itex]
Homework Equations
The Attempt at a Solution
This is for my real analysis class. I tried to use the squeeze theorem, but didn't get anywhere with it. I know [itex](-1)^{n}[/itex] is divergent, and n are divergent sequences but I haven't been able to use many theorems in the section because most of them are assuming something about a convergent sequence(and I need to show if it is or isn't)
Any ideas?
Thanks for lookingedit:
*Note: I have already shown that [itex]x_{n} := (-1)^{n}/(n+1)[/itex] converges to zero using the squeeze theorem, but the extra "n" in the numerator is messing me up with this one..