Write a code using Phyton that approximates the given infinite series by computing the partial sum for n = 10, 10², 103, 104 using two methods: (1) compute the sum from į = 1 to n; and (2) compute the sum in reverse order, that is, from n to į = 1. In each method, compute the relative error. Explain the results. Hint: to T¹ / 90 converges M8

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Write a code using Phyton that approximates the given infinite series by computing the partial sum
for n = 10, 102, 10³, 104 using two methods:
(1) compute the sum from į = 1 to n; and
(2) compute the sum in reverse order, that is, from n to į = 1. In each method, compute the relative
error.
Explain the results.
∞
Hint:
44 converges to 4/ 90
M8
Transcribed Image Text:Write a code using Phyton that approximates the given infinite series by computing the partial sum for n = 10, 102, 10³, 104 using two methods: (1) compute the sum from į = 1 to n; and (2) compute the sum in reverse order, that is, from n to į = 1. In each method, compute the relative error. Explain the results. ∞ Hint: 44 converges to 4/ 90 M8
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