Solution-Use partial fractions to rewrite the sum of two

Use partial fractions to rewrite the sum of two fractions

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Reference no: EM131139414

1. Let a_n = (-1)ⁿ, compute lim_n→∞a_n.

2. Let b_n = sin(πn/8), for n > 0.

Compute the limit of a_n.
Let s_n be the sum of first n elements of a_n. That is, s_n = _i=1∑ⁿ a_n. Write out the first 8 element of s_n.
Use partial fractions to rewrite a_n as the sum of two fractions.
Find a closed from expression for s_n.
Using your expression for s_n, compute lim_n→∞ s_n. What is _n=1∑^∞ a_n?

Reference no: EM131139414

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Use partial fractions to rewrite the sum of two fractions

Reference no: EM131139414

Reference no: EM131139414

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