Question

Floor Function Limit Confusion

score 104 · Answer 1 · 2024-01-16 17:40:17

104

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Floor Function Limit Confusion

Published on 16 Jan 2024 - 17:40

score 32 · Answer 2 · 2024-01-21 15:19:13

32

Views

The limit of a bounded function as x tends to negative infinity, and its relation to supremum

Published on 21 Jan 2024 - 15:19

score 87 · Answer 3 · 2024-02-01 09:57:26

87

Views

Is there a different way of proving continuity of $g(x) = \max \{f(t) \lvert 0 \leq t \leq x\}$

Published on 01 Feb 2024 - 9:57

score 178 · Answer 4 · 2024-02-03 04:46:50

178

Views

If $\lim\limits_{x\to0}f(x)=0$ and $\lim\limits_{x \to 0}\frac{f(2x)-f(x)}{x}=0$ how to rigorously prove that $\lim\limits_{x \to 0}\frac{f(x)}{x}=0$?

Published on 03 Feb 2024 - 4:46

score 80 · Answer 5 · 2026-03-31 12:54:54

80

Views

Basic analysis question to estimate the growth of a function

Published on 31 Mar 2026 - 12:54

score 155 · Answer 6 · 2024-02-08 04:38:07

155

Views

Why is the condition $0<|x-a|<\delta$ necessary in the $\varepsilon$-$\delta$ definition of a limit?

Published on 08 Feb 2024 - 4:38

score 156 · Answer 7 · 2024-02-08 08:03:00

156

Views

Epsilon delta proof : $\lim_{x \rightarrow 0}e^\frac{-1}{x^2}=0$

Published on 08 Feb 2024 - 8:03

score 95 · Answer 8 · 2024-02-09 18:56:31

95

Views

Prof says my epsilon delta proof is wrong because of a misplaced negative, but could it actually be correct?

Published on 09 Feb 2024 - 18:56

score 45 · Answer 9 · 2024-02-11 03:40:15

45

Views

using $\epsilon-\delta$ to prove the continuity of a multivariable function

Published on 11 Feb 2024 - 3:40

score 45 · Answer 10 · 2024-02-12 20:46:37

45

Views

Having trouble with proving $\lim_{z\to0}\frac{(Re(z))^2}{|z|} = 0$ using the epsilon definition

Published on 12 Feb 2024 - 20:46

score 84 · Answer 11 · 2024-02-13 19:13:10

84

Views

Epsilon delta proof with x going towards infinity.

Published on 13 Feb 2024 - 19:13

score 58 · Answer 12 · 2024-02-14 16:01:54

58

Views

Epsilon delta proofs on discontinuous functions

Published on 14 Feb 2024 - 16:01

score 81 · Answer 13 · 2024-02-14 19:06:23

81

Views

Proof that f is not continuous

Published on 14 Feb 2024 - 19:06

score 39 · Answer 14 · 2026-03-27 17:52:19

39

Views

Proving that Jacobian of Composition is equal to Composition of Jacobians using epsilon-delta

Published on 27 Mar 2026 - 17:52

score 67 · Answer 15 · 2024-02-15 15:00:10

67

Views

Why Is This Jump Discontinuity Not Differentiable?

Published on 15 Feb 2024 - 15:00

List Question

Floor Function Limit Confusion

The limit of a bounded function as x tends to negative infinity, and its relation to supremum

Is there a different way of proving continuity of $g(x) = \max \{f(t) \lvert 0 \leq t \leq x\}$

If $\lim\limits_{x\to0}f(x)=0$ and $\lim\limits_{x \to 0}\frac{f(2x)-f(x)}{x}=0$ how to rigorously prove that $\lim\limits_{x \to 0}\frac{f(x)}{x}=0$?

Basic analysis question to estimate the growth of a function

Why is the condition $0<|x-a|<\delta$ necessary in the $\varepsilon$-$\delta$ definition of a limit?

Epsilon delta proof : $\lim_{x \rightarrow 0}e^\frac{-1}{x^2}=0$

Prof says my epsilon delta proof is wrong because of a misplaced negative, but could it actually be correct?

using $\epsilon-\delta$ to prove the continuity of a multivariable function

Having trouble with proving $\lim_{z\to0}\frac{(Re(z))^2}{|z|} = 0$ using the epsilon definition

Epsilon delta proof with x going towards infinity.

Epsilon delta proofs on discontinuous functions

Proof that f is not continuous

Proving that Jacobian of Composition is equal to Composition of Jacobians using epsilon-delta

Why Is This Jump Discontinuity Not Differentiable?

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