Question

Given the following series: ne-3n n=1 (a) Approximate the sum of the given series by using the first 5 terms (a) (b) Estimate the error involved in this approximation. Please make sure to state the for- mula/equation that you use to earn full credit (b) (c) Show the series is convergent. Please indicate the name of test that you use and steps that you perform (d) How many terms are required to ensure that the sum is accurate to within 10-9? (d)

Answer 1

a) 0.055140908

b) 0000000975

c) 1 /
`e^(3)` < 1 ( series is converges)

d) n=6

Explanation:

Find the attachment for step by step explanation