Question

Using the number e to find the limit of a sequence

score 49 · Answer 1 · 2026-04-15 05:42:33

49

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Using the number e to find the limit of a sequence

Published on 15 Apr 2026 - 5:42

score 53 · Answer 2 · 2026-04-08 23:49:50

53

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Does it seem right to calculate fractional powers by walking steps method?

Published on 08 Apr 2026 - 23:49

score 54 · Answer 3 · 2026-04-14 08:23:42

54

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How can I simplify $(n\,\mathrm{ mod }\,b^{k+1})\,\mathrm{ mod }\, b^k$?

Published on 14 Apr 2026 - 8:23

score 97 · Answer 4 · 2026-04-09 06:21:14

97

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is the number of digits in the decimal expansion of $2^x$ periodic?

Published on 09 Apr 2026 - 6:21

score 465 · Answer 5 · 2026-04-16 00:54:09

465

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Which is larger $(101!)^{100}$ or $(100!)^{101}$

Published on 16 Apr 2026 - 0:54

score 102 · Answer 6 · 2026-04-15 00:18:11

102

Views

What is the Domain of $f(x) = x^{1/x}$

Published on 15 Apr 2026 - 0:18

score 200 · Answer 7 · 2026-04-16 13:52:42

200

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Sketch of proof concerning a conjecture of Vasile Cirtoaje : $(1-x)^{(2x)^k}+x^{(2(1-x))^k}\leq 1$ with $k\geq1$ and $0<x\leq \frac{1}{2}$

Published on 16 Apr 2026 - 13:52

score 133 · Answer 8 · 2026-04-09 12:39:08

133

Views

How do I prove the rules of exponentiation for real numbers using the supremum definition?

Published on 09 Apr 2026 - 12:39

score 118 · Answer 9 · 2026-04-13 04:17:25

118

Views

Finding range of Domain where there is only one solution

Published on 13 Apr 2026 - 4:17

score 427 · Answer 10 · 2026-04-17 12:24:55

427

Views

find all $(x,y,z)$ such that $27^{3x^2 + 2y}+27^{3y^2 + 2z}+27^{3z^2 + 2x}=1$

Published on 17 Apr 2026 - 12:24

score 148 · Answer 11 · 2026-04-14 06:29:37

148

Views

Are there restrictions to applying $\lim\limits_{x\to0}\frac {\tan x} {x}$?

Published on 14 Apr 2026 - 6:29

score 84 · Answer 12 · 2026-04-17 12:35:46

84

Views

Hard limit $\lim_{x\to\infty}\Bigg((x(x+1)(x+2))^{\frac{1}{3}}-\Big(2(x+1)-\Big(x^x(x+1)^{x+1}(x+2)^{x+2}\Big)^{\frac{1}{3x+3}}\Big)\Bigg)=0$

Published on 17 Apr 2026 - 12:35

score 58 · Answer 13 · 2026-04-09 05:04:29

58

Views

What is wrong in this calculation

Published on 09 Apr 2026 - 5:04

score 119 · Answer 14 · 2026-04-15 23:30:55

119

Views

Find the limit of the sequence $ \frac{x^n}{n^k}$ as $n \to \infty$ for all values of$ x > $0 and $k = 1, 2,\cdots$

Published on 15 Apr 2026 - 23:30

score 157 · Answer 15 · 2026-04-15 17:10:40

157

Views

Prove that $f(x)$ have a maximum at $x=0.5$ for $0\leq x\leq 1$

Published on 15 Apr 2026 - 17:10

List Question

Using the number e to find the limit of a sequence

Does it seem right to calculate fractional powers by walking steps method?

How can I simplify $(n\,\mathrm{ mod }\,b^{k+1})\,\mathrm{ mod }\, b^k$?

is the number of digits in the decimal expansion of $2^x$ periodic?

Which is larger $(101!)^{100}$ or $(100!)^{101}$

What is the Domain of $f(x) = x^{1/x}$

Sketch of proof concerning a conjecture of Vasile Cirtoaje : $(1-x)^{(2x)^k}+x^{(2(1-x))^k}\leq 1$ with $k\geq1$ and $0<x\leq \frac{1}{2}$

How do I prove the rules of exponentiation for real numbers using the supremum definition?

Finding range of Domain where there is only one solution

find all $(x,y,z)$ such that $27^{3x^2 + 2y}+27^{3y^2 + 2z}+27^{3z^2 + 2x}=1$

Are there restrictions to applying $\lim\limits_{x\to0}\frac {\tan x} {x}$?

Hard limit $\lim_{x\to\infty}\Bigg((x(x+1)(x+2))^{\frac{1}{3}}-\Big(2(x+1)-\Big(x^x(x+1)^{x+1}(x+2)^{x+2}\Big)^{\frac{1}{3x+3}}\Big)\Bigg)=0$

What is wrong in this calculation

Find the limit of the sequence $ \frac{x^n}{n^k}$ as $n \to \infty$ for all values of$ x > $0 and $k = 1, 2,\cdots$

Prove that $f(x)$ have a maximum at $x=0.5$ for $0\leq x\leq 1$

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