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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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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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