Find the region of uniform convergence of $$ \sum_{n=0}^\infty \frac{\cos nx}{n^3+x^2n} $$
I think that i have to use Weierstrass test but i do not know how to start.
Thanks in advance
Find the region of uniform convergence of $$ \sum_{n=0}^\infty \frac{\cos nx}{n^3+x^2n} $$
I think that i have to use Weierstrass test but i do not know how to start.
Thanks in advance
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HINT
$$|\frac{\cos{nx}}{n^3+nx^2}| \leq \frac{1}{n^3},\forall x \in \Bbb{R}$$