Tutorial Week 11
Integral Test
Q1: Use the integral test to show whether the series \(\sum_{n=2}^\infty \frac{ln(n)}{n^2}\) converges.
Comparison Test
Q2: Use the comparison test to show whether \(\sum_{n=1}^\infty \frac{3n + 5}{2^n + 5^n - 1}\) converges.
Telescoping Series
Q3: Find the sum of \(\sum_{n=1}^\infty \frac{2}{n^2+5n+6}\).
