jon jones

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19 Questions

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14	Prove that $\left (\frac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} > a^a b^b c^c$
6	Composite number
5	How to show that that $\sum_{n=1}^{\infty} \frac{1}{3n-1} + \frac{1}{3n-2}- \frac{2}{3n}= \ln(3)$?
5	$\epsilon{\rm -}\delta$ proof of the discontinuity of Dirichlet's function
4	How to evaluate $\lim\limits_{x \rightarrow +\infty}{e^x (e - (1+\frac{1}{x} )^x)}$ without L'Hospital?

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384 Reputation

+5	Prove that a map is Injective
+5	Derivative of $x^x$ at $x=1$ from first principles
+15	Show that a matrix is nilpotent.
+5	Linear Algebra: diagonalization problem

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2 Answers

votes activity newest

1	Prove that if $n$ is a positive integer then $2^{3n}-1$ is divisible by $7$.
1	Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$

14 Tags

1 limit × 8	0 sequences-and-series × 6
1 elementary-number-theory × 4	0 homework × 4
1 derivatives × 2	0 multivariable-calculus × 2
1 divisibility	0 natural-numbers × 2
0 calculus × 6	0 real-analysis × 2

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$Mathematics Stack Exchange$	Mathematics	384 rep	17
	Mathematica	118 rep	3
	Physics	101 rep

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