Question

How is this simplified? $\frac{n(2n^2+9n+1)}{6}+(n+1)^2+2(n+1)-1$

score 35 · Answer 1 · 2026-04-17 07:12:46

35

Views

How is this simplified? $\frac{n(2n^2+9n+1)}{6}+(n+1)^2+2(n+1)-1$

Published on 17 Apr 2026 - 7:12

score 91 · Answer 2 · 2026-04-12 21:02:40

91

Views

Attempt at sequence proof $\frac{n+3}{n^2 -3}$ converges to $0$

Published on 12 Apr 2026 - 21:02

score 431 · Answer 3 · 2026-04-16 11:13:36

431

Views

proving that $\mathbb{E}[X] = \int_{0}^{\infty}\mathbb{P}(X \geq t) dt$ in the case of non-negative random variables.

Published on 16 Apr 2026 - 11:13

score 153 · Answer 4 · 2026-04-15 01:28:59

153

Views

Proof verification: finding all prime numbers in the form of $n^3-1, n>1$

Published on 15 Apr 2026 - 1:28

score 73 · Answer 5 · 2026-04-08 23:00:48

73

Views

Solving the heat equation gives constant solution

Published on 08 Apr 2026 - 23:00

score 75 · Answer 6 · 2026-04-14 08:43:08

75

Views

If $A$ and $B$ are compact subsets of $\mathbb{R}$, is then $ A × B $ compact?

Published on 14 Apr 2026 - 8:43

score 125 · Answer 7 · 2026-04-09 09:30:42

125

Views

Is this approach valid for using least common multiple to establish Bertrand's postulate

Published on 09 Apr 2026 - 9:30

score 57 · Answer 8 · 2026-04-15 17:54:49

57

Views

$f:[a,b] \rightarrow \Bbb R$ measurable function, $f\geq0$ a.e. If $f^{-1}((0,\infty))$ has measure $>0$ , $f^{-1}((1/n,\infty))$ does for some n.

Published on 15 Apr 2026 - 17:54

score 46 · Answer 9 · 2026-04-15 21:17:32

46

Views

Proving $\exists k \in \mathbb{Z}: \forall l \in \mathbb{Z}: \lnot(k \mid l) $?

Published on 15 Apr 2026 - 21:17

score 315 · Answer 10 · 2026-04-14 00:03:03

315

Views

If every absolutely convergent series is convergent in $X$, then $X$ is a Banach space.

Published on 14 Apr 2026 - 0:03

score 98 · Answer 11 · 2026-04-10 20:06:18

98

Views

Proof Verification: Let $A$ be bounded above so that $s=$ sup $A$ exists. Prove that $s \in \overline{A}$.

Published on 10 Apr 2026 - 20:06

score 331 · Answer 12 · 2026-04-15 10:03:02

331

Views

Show that $|f(x)-L|\leq K|x-c| \implies\lim_{x\to c} f(x)=L$

Published on 15 Apr 2026 - 10:03

score 83 · Answer 13 · 2026-04-10 22:25:47

83

Views

Verifying the continuity of a piecewise-defined, composite function.

Published on 10 Apr 2026 - 22:25

score 66 · Answer 14 · 2026-04-14 16:41:02

66

Views

Verification of Laurent series for the function $f(z)=\frac{2}{(z+2)^2}-\frac{5}{z-4}$

Published on 14 Apr 2026 - 16:41

score 102 · Answer 15 · 2026-04-12 19:19:43

102

Views

Proof of $f(A)=f(A-B)+f(B)$ when $f$ is a injective map

Published on 12 Apr 2026 - 19:19

List Question

How is this simplified? $\frac{n(2n^2+9n+1)}{6}+(n+1)^2+2(n+1)-1$

Attempt at sequence proof $\frac{n+3}{n^2 -3}$ converges to $0$

proving that $\mathbb{E}[X] = \int_{0}^{\infty}\mathbb{P}(X \geq t) dt$ in the case of non-negative random variables.

Proof verification: finding all prime numbers in the form of $n^3-1, n>1$

Solving the heat equation gives constant solution

If $A$ and $B$ are compact subsets of $\mathbb{R}$, is then $ A × B $ compact?

Is this approach valid for using least common multiple to establish Bertrand's postulate

$f:[a,b] \rightarrow \Bbb R$ measurable function, $f\geq0$ a.e. If $f^{-1}((0,\infty))$ has measure $>0$ , $f^{-1}((1/n,\infty))$ does for some n.

Proving $\exists k \in \mathbb{Z}: \forall l \in \mathbb{Z}: \lnot(k \mid l) $?

If every absolutely convergent series is convergent in $X$, then $X$ is a Banach space.

Proof Verification: Let $A$ be bounded above so that $s=$ sup $A$ exists. Prove that $s \in \overline{A}$.

Show that $|f(x)-L|\leq K|x-c| \implies\lim_{x\to c} f(x)=L$

Verifying the continuity of a piecewise-defined, composite function.

Verification of Laurent series for the function $f(z)=\frac{2}{(z+2)^2}-\frac{5}{z-4}$

Proof of $f(A)=f(A-B)+f(B)$ when $f$ is a injective map

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