- #1
tolove
- 164
- 1
f is a positive decreasing function of x, f(n) = an for all n:
[itex]\int\stackrel{n+1}{1} f(x) dx[/itex] [itex]\leq[/itex] a[itex]_{1}[/itex] + a[itex]_{2}[/itex] + [itex]\cdots[/itex] + a[itex]_{n}[/itex]
Why is this true? I think I'm missing a fundamental understanding of summation, since the reasoning for this step was left out in my book.
[edited out some nonsense]
Thanks for any help!
[itex]\int\stackrel{n+1}{1} f(x) dx[/itex] [itex]\leq[/itex] a[itex]_{1}[/itex] + a[itex]_{2}[/itex] + [itex]\cdots[/itex] + a[itex]_{n}[/itex]
Why is this true? I think I'm missing a fundamental understanding of summation, since the reasoning for this step was left out in my book.
[edited out some nonsense]
Thanks for any help!
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