Question

Proof that $\mathrm{min}(f,g)$ is continuous on $x_0 \in \mathbb{R}$ when $f, g$ are continuous on $x_0$

score 42 · Answer 1 · 2018-10-16 10:47:58

42

Views

Proof that $\mathrm{min}(f,g)$ is continuous on $x_0 \in \mathbb{R}$ when $f, g$ are continuous on $x_0$

Published on 16 Oct 2018 - 10:47

score 53 · Answer 2 · 2018-10-16 20:07:25

53

Views

Using definition of limit $(\epsilon - \delta)$ to prove that

Published on 16 Oct 2018 - 20:07

score 380 · Answer 3 · 2018-10-16 20:17:21

380

Views

prove using epsilon delta: $\lim_{(x, y) \to (a, b)} (x + y) = a + b$

Published on 16 Oct 2018 - 20:17

score 38 · Answer 4 · 2018-10-17 04:16:40

38

Views

$f(x)=\frac{10x}{x^2+1}$ Find greatest value of $\delta$ accurate to three decimal places that $0<|x-1|<\delta$ guaruntee $|f(x)-5|<0.01$

Published on 17 Oct 2018 - 4:16

score 70 · Answer 5 · 2018-10-17 05:11:56

70

Views

Prove $\lim\limits_{x\to\frac52}\frac1{4x-8}=0.5$ via delta epsilon

Published on 17 Oct 2018 - 5:11

score 383 · Answer 6 · 2018-10-19 23:27:09

383

Views

Having trouble showing a function is continuous: $x/(1+|x|)$

Published on 19 Oct 2018 - 23:27

score 50 · Answer 7 · 2018-10-22 06:07:01

50

Views

proof regarding limit of function of 2 variable along different paths

Published on 22 Oct 2018 - 6:07

score 270 · Answer 8 · 2018-10-22 06:08:28

270

Views

how to prove that given f(x) and g(x) is continuous then $f*g(x)$ is also continuous

Published on 22 Oct 2018 - 6:08

score 93 · Answer 9 · 2018-10-22 21:46:56

93

Views

The image of an $\epsilon$-neighborhood of a function with a nonzero limit.

Published on 22 Oct 2018 - 21:46

score 42 · Answer 10 · 2018-10-23 01:04:41

42

Views

Substitution in a limit proof

Published on 23 Oct 2018 - 1:04

score 83 · Answer 11 · 2018-10-23 02:37:54

83

Views

Prove if $\lim _{x\rightarrow0}(f(x))=L$ then $\lim _{x\rightarrow0}(f(x^3))=L$

Published on 23 Oct 2018 - 2:37

score 51 · Answer 12 · 2018-10-23 03:07:46

51

Views

Proof involving non-existent limits

Published on 23 Oct 2018 - 3:07

score 50 · Answer 13 · 2018-10-24 09:08:22

50

Views

Finding $g(x)$ such that $\lim_{x\to 0} g(x)$ DNE, but $\lim_{x\to 0}f(x)g(x)$ exists.

Published on 24 Oct 2018 - 9:08

score 216 · Answer 14 · 2018-10-24 10:16:06

216

Views

If $\lim_{x\to 0}|f(x)|=\infty$ and $\lim_{x\to 0}g(x)$ DNE, show $\lim_{x\to 0}f(x)g(x)$ DNE

Published on 24 Oct 2018 - 10:16

score 2.7k · Answer 15 · 2018-10-25 03:56:09

2.7k

Views

Prove if $\lim_{x\to 0}$ $f(x)=L$ then $\lim_{x\to 0} f(ax)=L$ for non-zero constant $a$

Published on 25 Oct 2018 - 3:56

List Question

Proof that $\mathrm{min}(f,g)$ is continuous on $x_0 \in \mathbb{R}$ when $f, g$ are continuous on $x_0$

Using definition of limit $(\epsilon - \delta)$ to prove that

prove using epsilon delta: $\lim_{(x, y) \to (a, b)} (x + y) = a + b$

$f(x)=\frac{10x}{x^2+1}$ Find greatest value of $\delta$ accurate to three decimal places that $0<|x-1|<\delta$ guaruntee $|f(x)-5|<0.01$

Prove $\lim\limits_{x\to\frac52}\frac1{4x-8}=0.5$ via delta epsilon

Having trouble showing a function is continuous: $x/(1+|x|)$

proof regarding limit of function of 2 variable along different paths

how to prove that given f(x) and g(x) is continuous then $f*g(x)$ is also continuous

The image of an $\epsilon$-neighborhood of a function with a nonzero limit.

Substitution in a limit proof

Prove if $\lim _{x\rightarrow0}(f(x))=L$ then $\lim _{x\rightarrow0}(f(x^3))=L$

Proof involving non-existent limits

Finding $g(x)$ such that $\lim_{x\to 0} g(x)$ DNE, but $\lim_{x\to 0}f(x)g(x)$ exists.

If $\lim_{x\to 0}|f(x)|=\infty$ and $\lim_{x\to 0}g(x)$ DNE, show $\lim_{x\to 0}f(x)g(x)$ DNE

Prove if $\lim_{x\to 0}$ $f(x)=L$ then $\lim_{x\to 0} f(ax)=L$ for non-zero constant $a$

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