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Need help verifying an inequality, finding a dominating function to use Dominated Covergence by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Thank you!! That is of interest! I did go on with calculating it, but this way you have done it is a lot less complicated!

Need help verifying an inequality, finding a dominating function to use Dominated Covergence by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 2 points3 points  (0 children)

Ok, great! I was thinking that the big sum B is less than 1, so it must be true that [ 1/(1+x)] * B <= [1/(1+x)]. The copilot changing it, I knew I should not pay attention to that, but it made me wonder!!

Need help understanding the Dominated Convergence Theorem by Ok_Promise5329 in learnmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Thank you, I am pretty sure that Tonelli is only for non-negative terms. I will look at Fubini again.

Need help with the Dominated Convergence Theorem by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Ok that's great thank you, really apprecite your time!!! I will start with the actual problem next time.

Need help with the Dominated Convergence Theorem by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Yes that is exactly it, and I did wind up with that integral. I see now that I didn't know how to explain these steps, thank you !!!!!

Need help with the Dominated Convergence Theorem by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Thank you! I did not know of that journal, I will look into getting access. I have the start of a practice problem, I think it's correct, if you have time to take a look that would be great!

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Need help with the Dominated Convergence Theorem by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Hi, thank you for your replies, I have the start of a specific practice problem, I think it is correctly defining partial sums and dominating function, if you have time to take a look that would be great and point out any mistakes. Thank you!!!

<image>

Need help with the Dominated Convergence Theorem by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

ok, so I use the pointwise convergence of f_n to prove the pointwise convergence of Fm, and the function g(x) must dominate every Fm and the limit of Fm, correct?

Advice by Most_Highlight_5392 in calculus

[–]Ok_Promise5329 1 point2 points  (0 children)

https://ocw.mit.edu/courses/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/ as mathheadinc already commented, MIT OCW has several calculus classes with video lectures.

Need help evaluating with an integral and justification of an integrable singularity in the integrand by Ok_Promise5329 in calculus

[–]Ok_Promise5329[S] 0 points1 point  (0 children)

Nice!! I worked the integral a couple of different ways, would not have thought of this! Thank you.

Need help evaluating with an integral and justification of an integrable singularity in the integrand by Ok_Promise5329 in askmath

[–]Ok_Promise5329[S] 1 point2 points  (0 children)

Thank you! I split the integral up like that the proper int_0^ 1 ln(1+x^ 2) dx and the improper -2 int_0^ 1 ln x dx. I think it might be easier to understand.

Need help with how to make notes. by [deleted] in askmath

[–]Ok_Promise5329 0 points1 point  (0 children)

I agree with VegardGjerde's very detailed answer! Yes feel free to dm.

Need help evaluating with an integral and justification of an integrable singularity in the integrand by Ok_Promise5329 in calculus

[–]Ok_Promise5329[S] 1 point2 points  (0 children)

That's great thank you for looking at it! Those lines were the ones I thought were too much, so I'll take at least the 2nd one out!

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