Basic Mathematics20785 marksNumerical: series convergence, integral testIntegral test
Define integral test. Determine the convergence or divergence of the series sumn=1infty frac1n2+4. [1+4]
Define integral test. Determine the convergence or divergence of the series $\sum_{n=1}^{\infty} \frac{1}{n^2+4}$. [1+4]
- Series: $\displaystyle\sum{n=1}^{\infty} \frac{1}{n^2+4}$ - Required: (i) Define integral test [1] (ii) Test convergence/divergence [4] --- Integral Test: Let $f(x)$ be continuous, positive, and decreasing on the interval $[N, \infty)$ for some positive integer $N$, and let $an = f(n)$. Then th...