List questions from real-analysis

Published on 11 Apr 2026 - 8:58

36

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Taylor expansion of a function of two variables, one of which is an exponent

Published on 11 Apr 2026 - 8:55

94

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Proving that $f(x)$ isn't uniformly continuous...

Published on 18 Apr 2026 - 17:08

241

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Proving Gronwalls Extended Lemma

Published on 16 Apr 2026 - 22:46

51

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Integration with steps $\int_{-\infty}^\infty f(t-u) \, du $

Published on 14 Apr 2026 - 1:21

391

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Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

Published on 16 Apr 2026 - 6:26

332

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Digamma Identities

Published on 20 Apr 2026 - 21:10

64

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What is the domain of $f(x)=x^{2/4}$

Published on 14 Apr 2026 - 5:36

143

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Characterization of solutions to $f' = f(1-f)$

Published on 14 Apr 2026 - 1:34

322

Views

Example of function whose derivatives grow faster than it's Taylor Polynomial Error?

Published on 13 Apr 2026 - 15:49

63

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Proof of uniqueness of positive cubes

Published on 09 Apr 2026 - 9:16

235

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Rearrange a convergent alternating series to make it diverge [read desc.]

Published on 13 Apr 2026 - 3:31

100

Views

Show that if $\left\|\frac{\textbf{x} + \textbf{y}}{2}\right\| = 1$ then $\textbf{x} = \textbf{y}$

Published on 22 Apr 2026 - 11:34

31

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Maximising sum of two functions with just the derivatives

Published on 12 Apr 2026 - 2:16

60

Views

Prove that $ \lim_{x \rightarrow 0}f(x)=L \leftrightarrow \lim_{x \rightarrow 0}[f(x)-L]=0 $

Published on 17 Apr 2026 - 4:31

List Question

the solution of a Cauchy problem

Taylor expansion of a function of two variables, one of which is an exponent

Proving that $f(x)$ isn't uniformly continuous...

Proving Gronwalls Extended Lemma

Integration with steps $\int_{-\infty}^\infty f(t-u) \, du $

Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

Digamma Identities

What is the domain of $f(x)=x^{2/4}$

Characterization of solutions to $f' = f(1-f)$

Example of function whose derivatives grow faster than it's Taylor Polynomial Error?

Proof of uniqueness of positive cubes

Rearrange a convergent alternating series to make it diverge [read desc.]

Show that if $\left\|\frac{\textbf{x} + \textbf{y}}{2}\right\| = 1$ then $\textbf{x} = \textbf{y}$

Maximising sum of two functions with just the derivatives

Prove that $ \lim_{x \rightarrow 0}f(x)=L \leftrightarrow \lim_{x \rightarrow 0}[f(x)-L]=0 $

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