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#1 2008-02-15 15:22:31

mathminor88
Member
Registered: 2007-09-16
Posts: 12

improper integral type 2

Can something please explain to me how I can finish this. I thought that for t being 6, I would get 1/0 = infinity. Then it would be positive infinity * a negative number and I would get zero, yet somehow the answer is suppose to be infinity.

Last edited by mathminor88 (2008-02-15 15:25:00)

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#2 2008-02-15 15:33:10

mathminor88
Member
Registered: 2007-09-16
Posts: 12

Re: improper integral type 2

Alright, I don't know what I was doing here...


Last edited by mathminor88 (2008-02-15 15:33:59)

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#3 2008-02-15 15:52:08

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: improper integral type 2

Given ε > 0, let

Then for all t such that 6 < t < 6+δ, we have

This proves that

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#4 2008-02-15 16:21:34

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: improper integral type 2

What is this technique called?
I'd love to read about it!


igloo myrtilles fourmis

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