Question

If $f$ is continuous on $[a,b]$ and $g$ equals $f$ except at $x=c\in(a,b)$ then $\int_{a}^{b} f = \int_{a}^{b} g$.

score 1k · Answer 1 · 2026-03-28 01:26:20

1k

Views

If $f$ is continuous on $[a,b]$ and $g$ equals $f$ except at $x=c\in(a,b)$ then $\int_{a}^{b} f = \int_{a}^{b} g$.

Published on 28 Mar 2026 - 1:26

score 299 · Answer 2 · 2019-04-30 20:19:55

299

Views

Is induction neccessary for proving that every injective mapping of a finite set into itself is a mapping onto itself?

Published on 30 Apr 2019 - 20:19

score 117 · Answer 3 · 2019-05-01 17:31:40

117

Views

About cluster points in a proof

Published on 01 May 2019 - 17:31

score 154 · Answer 4 · 2019-05-02 07:25:33

154

Views

Proof by induction involving symmetric groups

Published on 02 May 2019 - 7:25

score 47 · Answer 5 · 2019-05-03 07:04:42

47

Views

How do I prove this inequality of a convex function on an interval

Published on 03 May 2019 - 7:04

score 259 · Answer 6 · 2019-05-03 17:42:11

259

Views

A question regarding the Bolzano Weierstrass Theorem

Published on 03 May 2019 - 17:42

score 99 · Answer 7 · 2019-05-04 07:22:56

99

Views

Sketches of proofs written in English that show that first-order logic is complete?

Published on 04 May 2019 - 7:22

score 29 · Answer 8 · 2019-05-04 12:22:57

29

Views

How can I show these series combinations are the same algebraically?

Published on 04 May 2019 - 12:22

score 948 · Answer 9 · 2019-05-09 13:44:26

948

Views

Proving if $\sum_{n=1}^{\infty} a_n$ and $\sum_{n=1}^{\infty} b_n$ both converge then the series $a_1+b_1+a_2+b_2+\ldots$ converges.

Published on 09 May 2019 - 13:44

score 455 · Answer 10 · 2026-03-25 15:21:38

455

Views

Alternative proof of Taylor's formula by only using the linear approximation property

Published on 25 Mar 2026 - 15:21

score 1.3k · Answer 11 · 2019-05-11 23:40:53

1.3k

Views

Quartic as a product of quadratics

Published on 11 May 2019 - 23:40

score 1.1k · Answer 12 · 2019-05-12 17:55:56

1.1k

Views

Prove recursive formula for number of spanning trees in complete graph.

Published on 12 May 2019 - 17:55

score 136 · Answer 13 · 2019-05-13 14:48:51

136

Views

Proving a sequence is bounded under given conditions

Published on 13 May 2019 - 14:48

score 1.1k · Answer 14 · 2019-05-15 03:47:28

1.1k

Views

Given $f$ is continuous and $f(x)=f(e^{t}x)$ for all $x\in\mathbb{R}$ and $t\ge0$, show that $f$ is constant function

Published on 15 May 2019 - 3:47

score 58 · Answer 15 · 2019-05-15 14:35:54

58

Views

Proving the divergence of $\sum_2^\infty{\frac{1}{n \log n}}$ using comparison test

Published on 15 May 2019 - 14:35

List Question

If $f$ is continuous on $[a,b]$ and $g$ equals $f$ except at $x=c\in(a,b)$ then $\int_{a}^{b} f = \int_{a}^{b} g$.

Is induction neccessary for proving that every injective mapping of a finite set into itself is a mapping onto itself?

About cluster points in a proof

Proof by induction involving symmetric groups

How do I prove this inequality of a convex function on an interval

A question regarding the Bolzano Weierstrass Theorem

Sketches of proofs written in English that show that first-order logic is complete?

How can I show these series combinations are the same algebraically?

Proving if $\sum_{n=1}^{\infty} a_n$ and $\sum_{n=1}^{\infty} b_n$ both converge then the series $a_1+b_1+a_2+b_2+\ldots$ converges.

Alternative proof of Taylor's formula by only using the linear approximation property

Quartic as a product of quadratics

Prove recursive formula for number of spanning trees in complete graph.

Proving a sequence is bounded under given conditions

Given $f$ is continuous and $f(x)=f(e^{t}x)$ for all $x\in\mathbb{R}$ and $t\ge0$, show that $f$ is constant function

Proving the divergence of $\sum_2^\infty{\frac{1}{n \log n}}$ using comparison test

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