Answer:
0.9721
Step-by-step explanation:
Your multiple choice answers are correct.
For problem 2, we'll use error estimation:
1/(n+1)⁵ < 0.0001
(n+1)⁵ > 10000
n+1 > 6.3
n > 5.3
n = 6
We need to sum the first 6 terms.
∑₁⁶ (-1)ⁿ⁺⁵ / n⁵
= 1/1⁵ − 1/2⁵ + 1/3⁵ − 1/4⁵ + 1/5⁵ − 1/6⁵
≈ 0.9721
