a) Find the parttal fractibns decompossition of f (x) =x2+9x+Z0 (tht is, write The funct/bn as a Sum of smpler ratlonal funeu), Do not compute the integral' of fCx). 3 6) Consider The serles Ž tatzo -Use part ta) to fnd Dez seuen ce Use part (a) to find a formula tor the sequence of partlal sums { Sn}. 3 c) Use part (b) to show the serdes 3. n?+9n+20 Converges, and Pind its sum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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a) Find the parttal fractibns decomposstion
of
f (x)
=x2+9x+20 (tht is, write The funct/bn as a
Sum of smpler ratlonal funeM). Do not compute
the integral' of f(x).
3
6) Consider The serles
Ž tatzo
-Use part ta) to fnd Dez souen ce
Use part (a) to find a formula tor the sequence
of partial sums { Sm}.
3.
c) Use part (6) to show Dhe serles 2 n?+9nt2o
Converges, and Pind its sum.
Transcribed Image Text:a) Find the parttal fractibns decomposstion of f (x) =x2+9x+20 (tht is, write The funct/bn as a Sum of smpler ratlonal funeM). Do not compute the integral' of f(x). 3 6) Consider The serles Ž tatzo -Use part ta) to fnd Dez souen ce Use part (a) to find a formula tor the sequence of partial sums { Sm}. 3. c) Use part (6) to show Dhe serles 2 n?+9nt2o Converges, and Pind its sum.
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