Question

Let $\lim_{x \rightarrow a} f(x) = A$ . Prove $\lim_{x \rightarrow a} \sqrt{f(x)} = \sqrt{A}$. Help?

score 34 · Answer 1 · 2017-06-23 14:42:56

34

Views

Let $\lim_{x \rightarrow a} f(x) = A$ . Prove $\lim_{x \rightarrow a} \sqrt{f(x)} = \sqrt{A}$. Help?

Published on 23 Jun 2017 - 14:42

score 231 · Answer 2 · 2017-06-28 08:32:58

231

Views

Multivariable Limit problem , epsilon-delta

Published on 28 Jun 2017 - 8:32

score 997 · Answer 3 · 2017-06-28 18:55:42

997

Views

Sequential continuity implies $\varepsilon-\delta$ continuity

Published on 28 Jun 2017 - 18:55

score 274 · Answer 4 · 2017-07-02 00:23:37

274

Views

Generalize Squeeze Theorem

Published on 02 Jul 2017 - 0:23

score 57 · Answer 5 · 2017-07-03 13:00:55

57

Views

Am I thinking of $\epsilon - \delta$ as $x \to \infty$ correctly?

Published on 03 Jul 2017 - 13:00

score 143 · Answer 6 · 2017-07-04 15:16:16

143

Views

Showing that $f(x) = \sin^2(x) + \cos^6(x)$, is continous in all of $\mathbb{R}$ via a $\delta$-$\epsilon$ appoarch?

Published on 04 Jul 2017 - 15:16

score 5.1k · Answer 7 · 2017-07-11 18:34:01

5.1k

Views

Limit of (x-y)/(x²-y²) as (x,y)->(1,1) using epsilon-delta?

Published on 11 Jul 2017 - 18:34

score 42 · Answer 8 · 2017-07-12 03:38:11

42

Views

Let $\{a_{n}\}\rightarrow 0$ and $\{b_{n}\}\rightarrow 0$. Prove that $\{a_{n}b_{n}\}\rightarrow 0$ using $\epsilon$-approach.

Published on 12 Jul 2017 - 3:38

score 218 · Answer 9 · 2017-07-12 04:05:57

218

Views

Verification of Proof for "Differentiability implies Continuity" based on Epsilon-Delta

Published on 12 Jul 2017 - 4:05

score 120 · Answer 10 · 2017-07-13 23:32:02

120

Views

Imaginary $\delta$ in proof of continuity

Published on 13 Jul 2017 - 23:32

score 142 · Answer 11 · 2017-07-14 13:53:12

142

Views

Prove existence of $\lim_{(x,y) \rightarrow (0,2)} \frac{x (y-2)^3}{3x - 5(y-2)^4}$

Published on 14 Jul 2017 - 13:53

score 1.7k · Answer 12 · 2017-07-16 20:05:00

1.7k

Views

Proving $\lim_{x\to2} 3x^2 = 12$ using the epsilon-delta definition

Published on 16 Jul 2017 - 20:05

score 98 · Answer 13 · 2017-07-20 10:38:00

98

Views

$\epsilon$ $\delta$ again!

Published on 20 Jul 2017 - 10:38

score 1.4k · Answer 14 · 2017-07-20 14:28:38

1.4k

Views

Continuity of $f(x) = x^n$

Published on 20 Jul 2017 - 14:28

score 393 · Answer 15 · 2017-07-23 00:41:13

393

Views

An $\epsilon$-$\delta$ proof for difference between powers of real numbers

Published on 23 Jul 2017 - 0:41

List Question

Let $\lim_{x \rightarrow a} f(x) = A$ . Prove $\lim_{x \rightarrow a} \sqrt{f(x)} = \sqrt{A}$. Help?

Multivariable Limit problem , epsilon-delta

Sequential continuity implies $\varepsilon-\delta$ continuity

Generalize Squeeze Theorem

Am I thinking of $\epsilon - \delta$ as $x \to \infty$ correctly?

Showing that $f(x) = \sin^2(x) + \cos^6(x)$, is continous in all of $\mathbb{R}$ via a $\delta$-$\epsilon$ appoarch?

Limit of (x-y)/(x²-y²) as (x,y)->(1,1) using epsilon-delta?

Let $\{a_{n}\}\rightarrow 0$ and $\{b_{n}\}\rightarrow 0$. Prove that $\{a_{n}b_{n}\}\rightarrow 0$ using $\epsilon$-approach.

Verification of Proof for "Differentiability implies Continuity" based on Epsilon-Delta

Imaginary $\delta$ in proof of continuity

Prove existence of $\lim_{(x,y) \rightarrow (0,2)} \frac{x (y-2)^3}{3x - 5(y-2)^4}$

Proving $\lim_{x\to2} 3x^2 = 12$ using the epsilon-delta definition

$\epsilon$ $\delta$ again!

Continuity of $f(x) = x^n$

An $\epsilon$-$\delta$ proof for difference between powers of real numbers

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