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Proof Verification: $\frac{(-1)^{n}n}{n+1}$ diverges

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#real-analysis #sequences-and-series #limits #proof-verification
335
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Probability measure on a subspace of an infinite product space making each projection measure preserving

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#real-analysis #probability-theory #measure-theory
70
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Proofs about this metric space

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#real-analysis
380
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X contains all its accumulation points $\iff$ X contains all its closure points.

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#real-analysis #general-topology
213
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Measure theory sequence limsup

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#calculus #real-analysis #measure-theory #lebesgue-measure #borel-measures
1k
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Show that if the restrictions of $f$ to $S_1$ and to $S_2$ are continuous then $f$ is continuous.

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#real-analysis #functions #continuity
243
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Derivatives and infimum/minimum of function

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#real-analysis #analysis
431
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Show that $L^2[a,b]$ is of the first category

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#real-analysis
53
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Upper bound for limsup

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#real-analysis #analysis #limits #limsup-and-liminf
33
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One-One, Simple And Jordan Curves

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#real-analysis #geometry #curves
932
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Proving a function is a bounded linear functional on C[0,1]

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#real-analysis
3.6k
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If $\,\lim_{h\to 0}\frac{f(x+h)-f(x-h)}{2h}\,$ exists for every $x$, what does this imply for $f$?

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#calculus #real-analysis #limits #derivatives
603
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Proof of uniform continuity of the convolution.

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#real-analysis #functional-analysis #measure-theory #lebesgue-integral #convolution
521
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Cantor Set and Continuity

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#real-analysis #continuity #cantor-set
2.2k
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Lebesgue Integral of Integrable Function on a Subset

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#real-analysis #measure-theory #lebesgue-integral

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