Question

score 84 · Answer 1 · 2018-09-15 05:14:20

84

Views

Prove that if $\ |x-x_0| < \frac ε2$ and $|y-y_0| < \frac ε2 $ then $|(x+y) - (x_0 + y_0)| < ε$ and $|(x-y) - (x_0 - y_0)| < ε$

Published on 15 Sep 2018 - 5:14

score 193 · Answer 2 · 2018-09-17 18:41:15

193

Views

Proving $\lim_{n\to\infty} n^2/(n^2 + n) = 1$ using $\epsilon-N$.

Published on 17 Sep 2018 - 18:41

score 826 · Answer 3 · 2018-09-21 02:38:52

826

Views

Can delta be defined in terms of x in a epsilon-delta proof?

Published on 21 Sep 2018 - 2:38

score 59 · Answer 4 · 2018-09-22 19:00:35

59

Views

Using uniform continuity

Published on 22 Sep 2018 - 19:00

score 1.3k · Answer 5 · 2018-09-23 15:52:05

1.3k

Views

Prove $\lim_{x\rightarrow -3} 1-4x=13$

Published on 23 Sep 2018 - 15:52

score 355 · Answer 6 · 2018-09-24 00:32:34

355

Views

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

Published on 24 Sep 2018 - 0:32

score 164 · Answer 7 · 2018-09-24 00:45:42

164

Views

Prove $\frac{\sqrt{x}}{x-1}$ is continuous on (0,1)

Published on 24 Sep 2018 - 0:45

score 919 · Answer 8 · 2018-09-27 19:02:10

919

Views

Quotient Law for sequences proof

Published on 27 Sep 2018 - 19:02

score 222 · Answer 9 · 2018-09-28 02:54:03

222

Views

Prove that $\lim_{x \to 3}{\sqrt{x^2 - x + 3}} =3$ using the precise definition of limits...

Published on 28 Sep 2018 - 2:54

score 2.7k · Answer 10 · 2018-09-28 14:30:28

2.7k

Views

Delta-Epsilon why is deltac less than or equal to eplisonc

Published on 28 Sep 2018 - 14:30

score 77 · Answer 11 · 2018-09-30 04:20:18

77

Views

Prove that $\lim\limits_{x→4}x^{1/2}=2$ by using epsilon-delta

Published on 30 Sep 2018 - 4:20

score 9k · Answer 12 · 2018-09-30 08:48:40

9k

Views

(Stuck on the last step) Find the largest δ such that |f(x) − L| < 0.01 whenever 0 < |x − 5| < δ

Published on 30 Sep 2018 - 8:48

score 150 · Answer 13 · 2018-10-02 00:40:40

150

Views

Rigorously proving a limit is in an interval

Published on 02 Oct 2018 - 0:40

score 102 · Answer 14 · 2018-10-02 07:46:46

102

Views

If $(x_n)$ is a bounded infinite sequence, prove that $\lim\limits_{n→∞}\frac{x_n}{n^k}=0$

Published on 02 Oct 2018 - 7:46

score 77 · Answer 15 · 2018-10-03 04:31:55

77

Views

Existence of a convergent sequence implies that a set is dense

Published on 03 Oct 2018 - 4:31

List Question

Prove that if $\ |x-x_0| < \frac ε2$ and $|y-y_0| < \frac ε2 $ then $|(x+y) - (x_0 + y_0)| < ε$ and $|(x-y) - (x_0 - y_0)| < ε$

Proving $\lim_{n\to\infty} n^2/(n^2 + n) = 1$ using $\epsilon-N$.

Can delta be defined in terms of x in a epsilon-delta proof?

Using uniform continuity

Prove $\lim_{x\rightarrow -3} 1-4x=13$

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

Prove $\frac{\sqrt{x}}{x-1}$ is continuous on (0,1)

Quotient Law for sequences proof

Prove that $\lim_{x \to 3}{\sqrt{x^2 - x + 3}} =3$ using the precise definition of limits...

Delta-Epsilon why is deltac less than or equal to eplisonc

Prove that $\lim\limits_{x→4}x^{1/2}=2$ by using epsilon-delta

(Stuck on the last step) Find the largest δ such that |f(x) − L| < 0.01 whenever 0 < |x − 5| < δ

Rigorously proving a limit is in an interval

If $(x_n)$ is a bounded infinite sequence, prove that $\lim\limits_{n→∞}\frac{x_n}{n^k}=0$

Existence of a convergent sequence implies that a set is dense

Trending Questions

Popular # Hahtags

Popular Questions