6. For the function, f(y) - b+y³¹ y² b+y³¹ (a) Find a power series representation for f(y) = b>0. Give your answer in Σ notation, with nothing in front of (or outside of) the E, with only one factor for each variable or constant, and no fractions within fractions. (b) State the radius of convergence of your power series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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I attached the question below. Thank you for all the help in advance!

y?
b+ y3'
6. For the function, f(y)
y?
b+ y3'
(a) Find a power series representation for f(y)
b> 0. Give your answer
in E notation, with nothing in front of (or outside of) the E, with only one factor
for each variable or constant, and no fractions within fractions.
(b) State the radius of convergence of your power series.
Transcribed Image Text:y? b+ y3' 6. For the function, f(y) y? b+ y3' (a) Find a power series representation for f(y) b> 0. Give your answer in E notation, with nothing in front of (or outside of) the E, with only one factor for each variable or constant, and no fractions within fractions. (b) State the radius of convergence of your power series.
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