Mathematics I20805 marksNumerical: series convergenceConvergence tests and power series
Determine whether the series converges or diverges sumn=1infty fracn25n2+4
Determine whether the series converges or diverges $\sum_{n=1}^{\infty} \frac{n^2}{5n^2+4}$ [5]
- Series: $\displaystyle\sum{n=1}^{\infty} an$ where $an = \dfrac{n^2}{5n^2+4}$ - Task: determine convergence or divergence. Method: nth-Term Divergence Test. If $\displaystyle\lim{n\to\infty} an \neq 0$ (or does not exist), then $\sum an$ diverges. Compute the limit of the general term. Divide n...