- #1
Namo
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Homework Statement
Does the following series converge uniformly?
[sum from n=1 to inf] [itex]\frac{e^{-nx}}{n^2} [/itex] on [0, inf)
Homework Equations
I know I need to use the M test or Cauchys Principle of uniform convergence. My tutor suggests using the former if there is uniform convergence & the latter if there isn't.
The Attempt at a Solution
I tried converting the exponential into summation form to see if that would help, but it didn't get me anywhere. I can't really see any easy way to use the M test.
Could anyone point me in the right direction as to start this problem?
Cheers