Mathematics I20755 marksNumerical: Series convergence testConvergence 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 $an = \dfrac{n^2}{5n^2 + 4}$ Test to apply: Divergence Test (nth Term Test) Theorem: If $\lim{n \to \infty} an \neq 0$ (or does not exist), then $\sum an$ diverges. Compute the limit of the general term: $$\lim{n \to \infty} an = \lim{n \to \i...