I finished this, but can you please check whether I am right, thank you! (I submitted screenshots, and the marked answers are the ones I selected.)

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

a and c

step-by-step explanation: