3. (a) Find the partial fractions decomposition of f(x) =; (that is, write the a? + 9x + 20 function as a sum of simpler rational functions). Do not compute the integral of f(x). 3 (b) Consider the series n2 + 9n + 20 Use Part (a) to find a formula for the sequence of partial sums {8,}. 3 (c) Use Part (b) to show that the series converges, and find its sum. n2 + 9n + 20

3. (a) Find the partial fractions decomposition of f(x) =; (that is, write the a? + 9x + 20 function as a sum of simpler rational functions). Do not compute the integral of f(x). 3 (b) Consider the series n2 + 9n + 20 Use Part (a) to find a formula for the sequence of partial sums {8,}. 3 (c) Use Part (b) to show that the series converges, and find its sum. n2 + 9n + 20

Name: 33. (a) Find the partial fractions decomposition of J(ª)=,2+9x + 20(t
Uploaded: 2024-03-20T06:38:58.000Z
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Description: 33. (a) Find the partial fractions decomposition of J(ª)=,2+9x + 20(that is, write thefunction as a sum of simpler rational functions). Do not compute the integral off(x).3(b) Consider the seriesn2 + 9n + 20n=1Use Part (a) to find a formula for the