Question

A sequence is said to converge superlineally to $\alpha$ if $|\alpha-x_{n+1}|\leq c_n|\alpha-x_n|$ to $c_n\to 0$ when $n\to \infty$. (a) Show

score 57 · Answer 1 · 2026-04-14 12:56:29

57

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A sequence is said to converge superlineally to $\alpha$ if $|\alpha-x_{n+1}|\leq c_n|\alpha-x_n|$ to $c_n\to 0$ when $n\to \infty$. (a) Show

Published on 14 Apr 2026 - 12:56

score 94 · Answer 2 · 2026-04-10 22:03:10

94

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score 553 · Answer 3 · 2026-04-25 07:00:22

553

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score 1.5k · Answer 4 · 2026-04-16 18:35:12

1.5k

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A particle moves along the $x$-axis according to the equation $x=10t-2t^2$ ... (Question about the wording)

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score 46 · Answer 5 · 2026-04-13 12:42:42

46

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score 108 · Answer 6 · 2026-04-15 08:57:50

108

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score 71 · Answer 7 · 2026-04-23 02:14:03

71

Views

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Published on 23 Apr 2026 - 2:14

score 69 · Answer 8 · 2026-04-13 19:58:51

69

Views

Suppose that $f$ is continuous and $h\neq 0$. Let $D_hf(x)=\frac{3}{2h^3}\int_{-h}^{h}tf(x+t)dt$. (a) Show that $D_hp(x)=p'(x)$ for all polynomials

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score 333 · Answer 9 · 2026-04-10 08:31:20

333

Views

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score 71 · Answer 10 · 2026-05-04 22:19:49

71

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score 119 · Answer 11 · 2026-04-11 00:20:37

119

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score 35 · Answer 12 · 2026-04-25 06:56:45

35

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score 48 · Answer 13 · 2026-04-19 04:22:15

48

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score 181 · Answer 14 · 2026-04-22 20:21:14

181

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score 80 · Answer 15 · 2026-04-11 03:15:58

80

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Limits of trivial expressions involving the logarithmic function

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List Question

A sequence is said to converge superlineally to $\alpha$ if $|\alpha-x_{n+1}|\leq c_n|\alpha-x_n|$ to $c_n\to 0$ when $n\to \infty$. (a) Show

More difficult proof of limit whose value is e^x

Proving $\int_{a}^{b}f(x)dx=\int_a^{c}f(x)dx+\int_c^{b}f(x)dx$

A particle moves along the $x$-axis according to the equation $x=10t-2t^2$ ... (Question about the wording)

How to do proofs using CT for improper integrals with a vertical assymptote?

Rate of Divergence of an Infinite Integral

Determine if the series $\sum_{n=1}^∞ \frac{(8^n)}{n!}$ converges

Suppose that $f$ is continuous and $h\neq 0$. Let $D_hf(x)=\frac{3}{2h^3}\int_{-h}^{h}tf(x+t)dt$. (a) Show that $D_hp(x)=p'(x)$ for all polynomials

Finding the global max and min of a function on the region of a circle

Proving the method of least squares for $2$ points in $\mathbb R^2$

Inverse function theorem verification

Calculation of partial expected value of a normal (not standardized) distribution

Understanding a limit on $R^n$ in a more rigorous way

Potential and factorial limit that tends to infinity

Limits of trivial expressions involving the logarithmic function

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