List questions from real-analysis

Published on 14 Apr 2026 - 12:41

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Confusing derivative in $C([0,1])$

Published on 14 May 2026 - 3:45

4.4k

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Proof that $\lim_{x\to \infty} (1+(x/n))^n = e^x$ Using Monotone Convergence Theorem

Published on 11 May 2026 - 2:45

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Proving that family of fractions is dense in $\mathbb{R}$

Published on 14 Apr 2026 - 23:43

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Showing that g is integrable and $\int^b_a{f}$ = $\int^b_a{g}$

Published on 16 May 2026 - 6:53

115

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Sequential characterization of non-equicontinuous sequence

Published on 13 May 2026 - 22:22

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Let $(f_n)$ be a sequence of measurable functions on a metric space.

Published on 11 May 2026 - 7:22

39

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What is wrong with following reasoning?

Published on 16 May 2026 - 1:00

60

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Convex sets. Real Analysis.

Published on 15 Apr 2026 - 21:25

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Help with Baby Rudin Chapter 8 Question 12

Published on 11 May 2026 - 0:27

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For which point is the transformation linear?

Published on 11 May 2026 - 0:11

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Definition of disconnected?

Published on 11 May 2026 - 4:33

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How can I solve this limit?(From AMM)

Published on 10 May 2026 - 20:33

55

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Do any probability measure has to be countably additive by definition?

Published on 13 Apr 2026 - 23:48

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If $f(x) >0$ $\forall x,f(0)=1,f'(0)=-1$ then is $f''(x)>0$ for all $x$?

Published on 17 Apr 2026 - 14:08

List Question

My Proof for subset of a finite set is finite

Confusing derivative in $C([0,1])$

Proof that $\lim_{x\to \infty} (1+(x/n))^n = e^x$ Using Monotone Convergence Theorem

Proving that family of fractions is dense in $\mathbb{R}$

Showing that g is integrable and $\int^b_a{f}$ = $\int^b_a{g}$

Sequential characterization of non-equicontinuous sequence

Let $(f_n)$ be a sequence of measurable functions on a metric space.

What is wrong with following reasoning?

Convex sets. Real Analysis.

Help with Baby Rudin Chapter 8 Question 12

For which point is the transformation linear?

Definition of disconnected?

How can I solve this limit?(From AMM)

Do any probability measure has to be countably additive by definition?

If $f(x) >0$ $\forall x,f(0)=1,f'(0)=-1$ then is $f''(x)>0$ for all $x$?

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