>) Find the sum to infinity of the series 3 1² +2²x¹ +3² + x² +4²x³ + ....... inf.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
(a) Prove that
1+(1+\frac{1|5})(\frac{1|2})+(1+\frac{1|5}+\frac{1|5\power{2}})(\frac{1|2\power{2}})+.....=\frac{20|9}
(b) Find the sum to infinity of the series
1\power{2}+2\power{2}x\power{1}+3\power{2}+x\power{2}+4\power{2}x\power{3}+......\inf{}.
Transcribed Image Text:(a) Prove that
1 1
¹+ (₁+0) + (¹ + + + -
1+1+
+1+
-
...
5
5² 2²
(b) Find the sum to infinity of the series
3
1² +2²x¹ +3² + x² + 4²x³ + ...... inf.
20
9
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