4. Determine how large the number a has to be so that ∫a∞x2+11dx<0.001 [6 marks] 5. Determine whether the series n=2∑∞
Posted: Thu Jul 14, 2022 4:48 pm
4. Determine how large the number a has to be so that ∫a∞x2+11dx<0.001 [6 marks] 5. Determine whether the series n=2∑∞nlnn(−1)n is absolutely convergent, conditionally convergent, or divergent. [8 marks] 6. Find the Taylor series for f(x)=x−2 centered at a=1. Hence, determine the radius of convergence, R.