1/23+1/33+...+1/n3<1/4; where n>2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi!
I need a little help with my homework.
1/23+1/33+...+1/n3<1/4; where n>2
On left side, i have sum of all numbers starting from 1/2^3 to 1/n^3 and that sum should be less than 1/4. I am suppose to proove that its true.
The answer should looks like k >1/4 so when i substitute for k numbers n>2, the statement is true. Or something like 0<1 which is also true.
Thak you!
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