Question

Does making a jump discontinuity undefined actually make the function continuous?

score 1.3k · Answer 1 · 2026-04-09 17:01:04

1.3k

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Does making a jump discontinuity undefined actually make the function continuous?

Published on 09 Apr 2026 - 17:01

score 236 · Answer 2 · 2026-04-20 15:18:24

236

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Upper bound on a series: $\sum_{k = M}^{\infty} (a/\sqrt{k})^k$

Published on 20 Apr 2026 - 15:18

score 1.2k · Answer 3 · 2026-04-14 10:46:53

1.2k

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Exponential growth and decay calculus.

Published on 14 Apr 2026 - 10:46

score 49 · Answer 4 · 2026-04-13 23:59:58

49

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I'm having trouble proving that there exists only one root for a simple algebra equation

Published on 13 Apr 2026 - 23:59

score 4.1k · Answer 5 · 2026-04-15 23:19:39

4.1k

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Suppose $F(x, y) = xyi + (x - y)$ and $C$ is the triangle with vertices $(-4,0)$, $(0,4)$, and $(4,0)$.

Published on 15 Apr 2026 - 23:19

score 314 · Answer 6 · 2026-04-15 11:55:48

314

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Limits without L'Hopital $\lim\limits_{x\to 0} \frac{e^{3x}-e^{-4x}}{\sin5x}.$

Published on 15 Apr 2026 - 11:55

score 145 · Answer 7 · 2026-04-13 17:25:14

145

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Use the Intermediate Value Theorem to prove that ∃x, y ∈ R,(x < y ∧ f(x) = f(y))

Published on 13 Apr 2026 - 17:25

score 95 · Answer 8 · 2026-04-14 09:23:46

95

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Integral related to exponential function

Published on 14 Apr 2026 - 9:23

score 147 · Answer 9 · 2026-04-09 19:29:34

147

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How to prove the following ineqiulity : $\exp\left(\int_0^t f(s)ds \right) \le 1+ \int_0^t e^{\max(1,s)f(s)}ds$

Published on 09 Apr 2026 - 19:29

score 26 · Answer 10 · 2026-04-16 09:46:36

26

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I have a function whose graph is as shown in the figure. I want to find where the plot starts to behave linearly.

Published on 16 Apr 2026 - 9:46

score 50 · Answer 11 · 2026-04-19 19:16:16

50

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What is the gradient of the product of two vectors

Published on 19 Apr 2026 - 19:16

score 72 · Answer 12 · 2026-04-16 13:42:49

72

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How can I evaluate $\int_0^\infty\frac{\sin(x^4)}{x^a(e^x-1)^2}\,\mathrm{d}x$

Published on 16 Apr 2026 - 13:42

score 793 · Answer 13 · 2026-04-10 21:22:46

793

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root test applied to power series

Published on 10 Apr 2026 - 21:22

score 1.8k · Answer 14 · 2026-04-15 18:32:52

1.8k

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Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Published on 15 Apr 2026 - 18:32

score 116 · Answer 15 · 2026-04-09 08:45:46

116

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Need simple explanation on "Differentiation from first principles"

Published on 09 Apr 2026 - 8:45

List Question

Does making a jump discontinuity undefined actually make the function continuous?

Upper bound on a series: $\sum_{k = M}^{\infty} (a/\sqrt{k})^k$

Exponential growth and decay calculus.

I'm having trouble proving that there exists only one root for a simple algebra equation

Suppose $F(x, y) = xyi + (x - y)$ and $C$ is the triangle with vertices $(-4,0)$, $(0,4)$, and $(4,0)$.

Limits without L'Hopital $\lim\limits_{x\to 0} \frac{e^{3x}-e^{-4x}}{\sin5x}.$

Use the Intermediate Value Theorem to prove that ∃x, y ∈ R,(x < y ∧ f(x) = f(y))

Integral related to exponential function

How to prove the following ineqiulity : $\exp\left(\int_0^t f(s)ds \right) \le 1+ \int_0^t e^{\max(1,s)f(s)}ds$

I have a function whose graph is as shown in the figure. I want to find where the plot starts to behave linearly.

What is the gradient of the product of two vectors

How can I evaluate $\int_0^\infty\frac{\sin(x^4)}{x^a(e^x-1)^2}\,\mathrm{d}x$

root test applied to power series

Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Need simple explanation on "Differentiation from first principles"

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