Steve

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38 Questions

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11	Calculate sum of $\sum_{n=1}^{\infty}(-1)^n\frac{\ln n}{n}$
11	Existence of a specific reordering bijection
10	Calculate $\underset{x\rightarrow7}{\lim}\frac{\sqrt{x+2}-\sqrt[3]{x+20}}{\sqrt[4]{x+9}-2}$
9	Check convergence of $\sum^{\infty}_{n=1} \frac{1}{(\ln\ln n)^{\ln n}}$
9	$\lim(\underset{k\rightarrow\infty}{\lim}(\cos(\|n!\pi x\|)^{2k}))=\begin{cases} 1 & \iff x\in\mathbb{Q}\\ 0 & \iff x\notin\mathbb{Q} \end{cases}$ [duplicate]

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1,318 Reputation

+5	bilinear form $F(A, B) = n \cdot \text{tr}(AB) - \text{tr}(A)\cdot\text{tr}(B)$, find ortogonal subspaces, that satisfy…
+5	$\int_0^{\pi/4}\!\frac{\mathrm dx}{2+\sin x}$ , $\int_0^{2\pi}\!\frac{\mathrm dx}{2+\sin x}$
+5	Evaluating the integral: $\lim_{R \to \infty} \int_0^R \frac{dx}{x^2+x+2}$
+5	$\lim_{R \to \infty} \int_0^R \frac{dx}{(x^2+x+2)^3}$

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4 Answers

votes activity newest

15	Check convergence of $\sum^{\infty}_{n=1} \frac{1}{(\ln\ln n)^{\ln n}}$
2	Calculate $\dim W+V$ and $W\cap V$
2	limits of polynomials
2	$\sum_{n=2}^\infty \frac{1}{(\ln\, n)^2}$ c0nvergence

23 Tags

19 real-analysis × 26	2 analysis × 7
17 convergence × 9	2 limit × 4
15 sequences-and-series × 5	2 polynomials × 3
15 calculus × 4	0 homework × 4
2 linear-algebra × 11	0 inequality × 4

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$Mathematics Stack Exchange$	Mathematics	1,318 rep	19
	Stack Overflow	101 rep
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	Game Development	101 rep	1

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112 Votes Cast

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