- #1
Theraven1982
- 25
- 0
Hello, it's me again ;)
Problem:
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Define
[tex] f_{n}(x)=n^{\alpha}, |x|\leq 1/n, f_{n}=0[/tex] elsewhere
Give all [tex]\alpha \in \Re [/tex] for which
[tex] \lim_{n \to \infty} \int_{\Re}f_{n}(x)dx=+\infty [/tex]
-------
Can i change this last integral to:
[tex] \lim_{x \to 0} \int_{0}^{\infty} x^{-\alpha}dx=+\infty [/tex]
But i think the integration limits aren't correct, and therefore [tex] alpha [/tex] is wrong too.
Any help appreciated,
kind regards,
W.
Problem:
-------
Define
[tex] f_{n}(x)=n^{\alpha}, |x|\leq 1/n, f_{n}=0[/tex] elsewhere
Give all [tex]\alpha \in \Re [/tex] for which
[tex] \lim_{n \to \infty} \int_{\Re}f_{n}(x)dx=+\infty [/tex]
-------
Can i change this last integral to:
[tex] \lim_{x \to 0} \int_{0}^{\infty} x^{-\alpha}dx=+\infty [/tex]
But i think the integration limits aren't correct, and therefore [tex] alpha [/tex] is wrong too.
Any help appreciated,
kind regards,
W.