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1d
comment Suppose $f(x)\in L_1$ - Prove that $\lim_{n\rightarrow\infty}\int_0^\infty f(x)\cos(nx)dx = 0$
If this argument works then I was wondering how much of a change in $f(x)$ would be required to make it false?
1d
asked Suppose $f(x)\in L_1$ - Prove that $\lim_{n\rightarrow\infty}\int_0^\infty f(x)\cos(nx)dx = 0$
1d
comment Limit of the integral of $\frac{x^n+1}{x^n+2}$
Cauchy principle value sounds like the result is multi valued somehow. Is this the case and if so how is the "principle" value singled out?
1d
comment Real Analysis and dynamics
@dave thanks for the reference. Luckily the library had a copy here. I also ran into another post on MathSE related to this one I thought. math.stackexchange.com/questions/756546/… quite popular discussion of a similar rift that seems apparent in a much wider context.
Apr
16
revised Real Analysis and dynamics
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revised Real Analysis and dynamics
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Apr
16
comment Real Analysis and dynamics
I suppose it does. There is a lot of rhetoric at the end of my post. Just a personal point of view. The question still stands. Is there a text available that satisfies the three criteria above?
Apr
16
comment Real Analysis and dynamics
I am referring to the non-baby Rudin. The level of "Real and Complex Analysis".
Apr
16
asked Real Analysis and dynamics
Apr
16
comment Subsets of $[0,1]$
I suppose when the ability to visualize no longer exists, we cling to the rules alone. Thx for the feedback.
Apr
16
accepted Subsets of $[0,1]$
Apr
16
revised Subsets of $[0,1]$
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revised Subsets of $[0,1]$
added 78 characters in body
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asked Subsets of $[0,1]$
Apr
13
comment Computing a Lie Bracket: General Questions
Expand it. Looks like some things will cancel.
Apr
13
comment Finding angle in isosceles triangle
Investigate Euclid's Elements Book 1 Proposition 5 for an idea of how to proceed.
Apr
10
comment Limit of the integral of $\frac{x^n+1}{x^n+2}$
Nice way to look at it. Thanks
Apr
10
accepted Limit of the integral of $\frac{x^n+1}{x^n+2}$
Apr
10
revised Limit of the integral of $\frac{x^n+1}{x^n+2}$
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Apr
10
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