List questions from real-analysis

Published on 17 Apr 2026 - 11:34

123

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Implication and universal quantifier

Published on 12 Apr 2026 - 15:56

109

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Courant Analysis question s3.6-2

Published on 11 Apr 2026 - 12:23

847

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If $x+y+z=2$, what is the max value of $xyz^2$?

Published on 16 Apr 2026 - 6:08

500

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Area of region in the Dog bone-shaped curve: $|x|^x=|y|^y$

Published on 29 Apr 2026 - 12:50

38

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A limit by using Taylor's expansion

Published on 11 Apr 2026 - 9:21

1k

Views

Understanding the philosophy behind the axiomatic definition of reals

Published on 09 Apr 2026 - 10:07

49

Views

Question on whether I can apply Fatou's Lemma

Published on 29 Apr 2026 - 17:52

484

Views

converge in $\mu$ almost everywhere

Published on 29 Apr 2026 - 12:54

44

Views

Elementary question on inequality using $\;\liminf\;$

Published on 29 Apr 2026 - 17:44

141

Views

Show that the metrics $\rho(x,y) = \sqrt{d(x,y)}$ and $\tau(x,y) = \min\{d(x,y),1\}$ are equivalent to $d(x,y)$.

Published on 09 Apr 2026 - 8:09

225

Views

If you had to self -study a course in higher math that you know, and passing it was a matter of life and death, what advice would you give yourself?

Published on 29 Apr 2026 - 12:26

205

Views

Let $V$ be a real normed finite dimensional vector space. Is it true that $A \subseteq V$ compact iff $A$ is closed and bounded?

Published on 12 Apr 2026 - 17:05

73

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pointwise,absolute and uniformly convergence of a series of function

Published on 13 Apr 2026 - 22:07

179

Views

Showing that a set is not closed

Published on 10 Apr 2026 - 3:53

List Question

$\int_0^\infty f(t)^2 x(t)^2 dt \le \int^1_0 f(t)^2 dt?$

Implication and universal quantifier

Courant Analysis question s3.6-2

If $x+y+z=2$, what is the max value of $xyz^2$?

Area of region in the Dog bone-shaped curve: $|x|^x=|y|^y$

A limit by using Taylor's expansion

Understanding the philosophy behind the axiomatic definition of reals

Question on whether I can apply Fatou's Lemma

converge in $\mu$ almost everywhere

Elementary question on inequality using $\;\liminf\;$

Show that the metrics $\rho(x,y) = \sqrt{d(x,y)}$ and $\tau(x,y) = \min\{d(x,y),1\}$ are equivalent to $d(x,y)$.

If you had to self -study a course in higher math that you know, and passing it was a matter of life and death, what advice would you give yourself?

Let $V$ be a real normed finite dimensional vector space. Is it true that $A \subseteq V$ compact iff $A$ is closed and bounded?

pointwise,absolute and uniformly convergence of a series of function

Showing that a set is not closed

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