Do a convergence tests for the following series.
$$\sum_{n=1}^{\infty} \frac{\log^{100}n}{n}\sin\frac{(2n+1)\pi}{2}$$
I have one more question how can i show convergence with alternating series test (Leibniz's test)?
Do a convergence tests for the following series.
$$\sum_{n=1}^{\infty} \frac{\log^{100}n}{n}\sin\frac{(2n+1)\pi}{2}$$
I have one more question how can i show convergence with alternating series test (Leibniz's test)?