(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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?

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# Homework Help: Series convergence

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