Question

Determine all $x \in \mathbb{R}$ so that $2^x = x^2+1$

score 109 · Answer 1 · 2026-04-06 17:13:35

109

Views

Determine all $x \in \mathbb{R}$ so that $2^x = x^2+1$

Published on 06 Apr 2026 - 17:13

score 238 · Answer 2 · 2018-02-02 18:28:13

238

Views

Proving Gronwalls Extended Lemma

Published on 02 Feb 2018 - 18:28

score 55 · Answer 3 · 2026-03-29 12:11:47

55

Views

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Published on 29 Mar 2026 - 12:11

score 49 · Answer 4 · 2018-02-02 22:13:25

49

Views

Why does $\epsilon = |L| + 2$ not work for this new definition of limit?

Published on 02 Feb 2018 - 22:13

score 308 · Answer 5 · 2026-03-24 23:46:05

308

Views

Show that $d$ is direction of closed convex set.

Published on 24 Mar 2026 - 23:46

score 243 · Answer 6 · 2026-04-06 19:31:41

243

Views

$\left\{\begin{array}{lll} f_{t}+xf_{y}=0\\ f|_{t=0}=f_{0}(x,y) \end{array}\right.$

Published on 06 Apr 2026 - 19:31

score 81 · Answer 7 · 2026-03-24 22:16:06

81

Views

if $f: D\subseteq \mathbb{R}^n \to R$ is continuous at $a \in D$, then there exists a $\delta > 0$ s.t $f$ is continuous on $B(a, \delta)$?

Published on 24 Mar 2026 - 22:16

score 58 · Answer 8 · 2026-03-29 16:25:11

58

Views

Finding $\alpha$ and $\beta$ so that function becomes continuous

Published on 29 Mar 2026 - 16:25

score 573 · Answer 9 · 2026-04-01 01:10:56

573

Views

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Published on 01 Apr 2026 - 1:10

score 64 · Answer 10 · 2018-02-03 14:10:28

64

Views

Minimum, maximum and $||f_n||_\infty$ of $f_n(x) = x^{\frac{n}{2}}e^{-nx}$

Published on 03 Feb 2018 - 14:10

score 68 · Answer 11 · 2018-02-03 16:45:28

68

Views

show the convergence of $\sum_{k=1}^{\infty}{\frac{(2i)^k}{5^k}}$ using the Leibniz criterion

Published on 03 Feb 2018 - 16:45

score 85 · Answer 12 · 2026-03-25 13:57:55

85

Views

Pointwise and uniform convergence of $\sum_{n=0}^\infty x^n(1-x)$

Published on 25 Mar 2026 - 13:57

score 52 · Answer 13 · 2026-03-27 05:37:44

52

Views

Continuity and Compactness, Is this mapping onto? (Rudin)

Published on 27 Mar 2026 - 5:37

score 2.1k · Answer 14 · 2026-03-25 01:18:33

2.1k

Views

Extreme directions of $S=\{x:-x_1+2x_2\le 4,x_1-3x_2\le 3,x_1,x_2\ge 0\}$

Published on 25 Mar 2026 - 1:18

score 53 · Answer 15 · 2026-03-28 01:35:26

53

Views

Proving or disproving properties of a set in $\mathbb{R}^2$

Published on 28 Mar 2026 - 1:35

List Question

Determine all $x \in \mathbb{R}$ so that $2^x = x^2+1$

Proving Gronwalls Extended Lemma

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Why does $\epsilon = |L| + 2$ not work for this new definition of limit?

Show that $d$ is direction of closed convex set.

$\left\{\begin{array}{lll} f_{t}+xf_{y}=0\\ f|_{t=0}=f_{0}(x,y) \end{array}\right.$

if $f: D\subseteq \mathbb{R}^n \to R$ is continuous at $a \in D$, then there exists a $\delta > 0$ s.t $f$ is continuous on $B(a, \delta)$?

Finding $\alpha$ and $\beta$ so that function becomes continuous

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Minimum, maximum and $||f_n||_\infty$ of $f_n(x) = x^{\frac{n}{2}}e^{-nx}$

show the convergence of $\sum_{k=1}^{\infty}{\frac{(2i)^k}{5^k}}$ using the Leibniz criterion

Pointwise and uniform convergence of $\sum_{n=0}^\infty x^n(1-x)$

Continuity and Compactness, Is this mapping onto? (Rudin)

Extreme directions of $S=\{x:-x_1+2x_2\le 4,x_1-3x_2\le 3,x_1,x_2\ge 0\}$

Proving or disproving properties of a set in $\mathbb{R}^2$

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