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Somefantastik
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Homework Statement
Show uniform convergence
[tex]\frac{4b}{\pi} \sum^{\inf}_{n=1} \frac{1-(-1)^{n}}{n^{2}}cos(nt)cos(nx) [/tex]
for fixed t
Homework Equations
The Attempt at a Solution
[tex] \left| cos(nt) \right| \leq 1 [/tex]
[tex] \left| cos(nx) \right| \leq 1 [/tex]
[tex]lim \left|\frac{1 - (-1)^{n}}{n^{2}}\right| \ = \ 0 [/tex]
What's next?