5. Let an be a power series with radius of convergence 2 and note that the constant term is 0. Show that there is a constant M so that for every x satisfying x ≤ 1. anx ≤ Mx|
5. Let an be a power series with radius of convergence 2 and note that the constant term is 0. Show that there is a constant M so that for every x satisfying x ≤ 1. anx ≤ Mx|
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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[Ex5 Q5]Calculus question about radius of convergence :)
![5. Let Σ anx” be a power series with radius of convergence 2 and note
that the constant term is 0. Show that there is a constant M so that
Σ An
1
for every x satisfying x ≤ 1.
anx" ≤ M|x|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc76f7391-61d3-4396-8738-502514b3b1a1%2Fd91e30dd-3cee-4df5-a9eb-2bbea2729eb4%2Fme5lj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Let Σ anx” be a power series with radius of convergence 2 and note
that the constant term is 0. Show that there is a constant M so that
Σ An
1
for every x satisfying x ≤ 1.
anx" ≤ M|x|
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