(Review) Determine whether the series (-1)"+1s converges absolutely, converges conditionally, or diverges. n=1 a. converges absolutely b. converges conditionally c. diverges d. cannot be determined

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(Review) Determine whether the series E(-1)n+1
n3+5 Converges absolutely, converges conditionally, or diverges.
n=1
a. converges absolutely
b. converges conditionally
c. diverges
d. cannot be determined
Let f(x) =
1
Which of the following are true? (2 marks)
1+2x²
a) f(x) = E(-1)" 2"x²n if – 1< x < 1.
n=0
b) f(x) = E(-1)" 2"x²n if – < x < %:
n=0
c) T3,0(x) = 1 – 2x2 .
d) f"(0) = -2³ · 3!.
e) ſi H da
1+2x²
E (-1)" 2"[2²n – 1).
n=0
Transcribed Image Text:(Review) Determine whether the series E(-1)n+1 n3+5 Converges absolutely, converges conditionally, or diverges. n=1 a. converges absolutely b. converges conditionally c. diverges d. cannot be determined Let f(x) = 1 Which of the following are true? (2 marks) 1+2x² a) f(x) = E(-1)" 2"x²n if – 1< x < 1. n=0 b) f(x) = E(-1)" 2"x²n if – < x < %: n=0 c) T3,0(x) = 1 – 2x2 . d) f"(0) = -2³ · 3!. e) ſi H da 1+2x² E (-1)" 2"[2²n – 1). n=0
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