List questions from exponentiation

Published on 02 Aug 2014 - 2:09

177

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Prove $\lim_{n\to\infty} \frac{(2^{2^n}+1)(2^{2^n}+3)(2^{2^n}+5)\cdots (2^{2^n+1}+1)}{(2^{2^n})(2^{2^n}+2)(2^{2^n}+4)\cdots (2^{2^n+1})}=\sqrt{2}$

Published on 02 Aug 2014 - 11:01

166

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How can I calculate the median value?

Published on 25 Mar 2026 - 14:27

1.3k

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Solution for this Logarithmic Equation

Published on 03 Aug 2014 - 2:27

552

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Solving an equation in $x$, in which $x$ occurs as exponent four times

Published on 04 Aug 2014 - 9:42

176

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Evaluate $\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}$

Published on 05 Aug 2014 - 6:12

102

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generalized way of finding pair solutions of an equation

Published on 28 Mar 2026 - 13:41

141

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Does $x^2+ x^4/(3\cdot4) + x^6/(3\cdot4\cdot5\cdot6) + \cdots$ have any compact form?

Published on 27 Mar 2026 - 18:14

55

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When $\ln(1+y) = y + o(y)$?

Published on 08 Aug 2014 - 11:04

481

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Evaluating a limit. What makes the equality right?

Published on 10 Aug 2014 - 16:32

1.6k

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Matrix Exponent - equivalent of a rotation matrix

Published on 13 Aug 2014 - 21:10

131

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How can I do this? $\int\frac{dx}{x^4+1}$

Published on 28 Mar 2026 - 16:28

126

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Integral of an exponent of an exponent

Published on 18 Aug 2014 - 13:16

125

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How does exponentiation relate to multiplication?

Published on 18 Aug 2014 - 23:43

143

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Inequality: $\left|x^3-y^3\right|<|x|^3+|y|^3$

Published on 28 Mar 2026 - 7:00

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Definition of $0^z$, $z$ complex

Prove $\lim_{n\to\infty} \frac{(2^{2^n}+1)(2^{2^n}+3)(2^{2^n}+5)\cdots (2^{2^n+1}+1)}{(2^{2^n})(2^{2^n}+2)(2^{2^n}+4)\cdots (2^{2^n+1})}=\sqrt{2}$

How can I calculate the median value?

Solution for this Logarithmic Equation

Solving an equation in $x$, in which $x$ occurs as exponent four times

Evaluate $\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}$

generalized way of finding pair solutions of an equation

Does $x^2+ x^4/(3\cdot4) + x^6/(3\cdot4\cdot5\cdot6) + \cdots$ have any compact form?

When $\ln(1+y) = y + o(y)$?

Evaluating a limit. What makes the equality right?

Matrix Exponent - equivalent of a rotation matrix

How can I do this? $\int\frac{dx}{x^4+1}$

Integral of an exponent of an exponent

How does exponentiation relate to multiplication?

Inequality: $\left|x^3-y^3\right|<|x|^3+|y|^3$

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