V. Galerkin

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19 Questions

views newest activity votes

1

11

votes

1

answer

206

views

Convergence of the series $\sum_{n=1}^\infty \frac{(2n)!!}{(2n+1)!!} $

homework real-analysis sequences-and-series convergence

jan 21 at 3:14 user17762 76.2k

2

9

votes

1

answer

180

views

Convergence of $\sum_{n=1}^\infty \frac{\sin^2(n)}{n}$

homework sequences-and-series convergence

jan 9 at 16:26 ncmathsadist 17.2k

9

votes

6

answers

509

views

Linear independence of $\sin(x)$ and $\cos(x)$

linear-algebra

jan 3 at 12:36 Giuseppe Negro 4,775

1

6

votes

1

answer

129

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If the partial sums of a $a_n$ are bounded, then $\sum{}_{n=1}^\infty a_n e^{-nt}$ converges for all $t > 0$

real-analysis sequences-and-series convergence

apr 5 at 15:14 user17762 76.2k

1

6

votes

2

answers

125

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Map that satisfies $f(\lambda x) = \lambda f(x)$ but not $f(x+y) = f(x)+f(y)$

real-analysis functional-equations

mar 8 at 23:18 Alvin Jin 13

5

votes

1

answer

91

views

In a metric space, closure is closed

homework metric-spaces

jan 27 at 20:04 Deven Ware 2,998

5

votes

2

answers

238

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If $\sum_{n=1}^\infty a_n$ is convergent, then $\sum_{n=1}^{\infty} a_n\sin(n)$

homework real-analysis sequences-and-series convergence

jan 7 at 18:19 Christian Ivicevic 794

3

votes

1

answer

61

views

If $f'(t) = g'(t)$ then $f(t) = g(t) + k$ for all $t\in\mathbb R$

real-analysis functions derivatives

mar 9 at 22:03 Dominic Michaelis 11.8k

3

votes

1

answer

98

views

Grassman formula for vector space dimensions

linear-algebra vector-spaces

dec 27 at 14:56 Michael Hardy 48.1k

2

votes

3

answers

65

views

Evaluate $\lim_{n\to\infty} 1/\ln(n)$ using $\varepsilon$ definition of convergence

real-analysis sequences-and-series limit

feb 2 at 15:49 V. Galerkin 361

1

vote

1

answer

30

views

If a polynomial $P(x)$ tends to $0$ when $x\to\infty$ then $P(x)=0$.

real-analysis functions

mar 9 at 13:41 Git Gud 5,821

1

vote

1

answer

49

views

If $\displaystyle\lim_{n\to\infty} x_n = +\infty$ then $\displaystyle\lim_{n\to\infty} P(x_n) = \lim_{x\to\infty} P(x)$.

real-analysis sequences-and-series limit

feb 26 at 21:06 mrf 8,422

1

vote

1

answer

77

views

Change of basis on quotient of vector spaces

homework linear-algebra vector-spaces

jan 26 at 17:02 Oliver Braun 506

1

vote

2

answers

60

views

Applying row operations to a matrix in order to get a diagonal matrix

linear-algebra matrices

jan 24 at 20:01 zacarias 784

1

vote

3

answers

182

views

Proof: $\lim_{n\to\infty} (1-\frac{1}{n})^{-n} = e$

homework real-analysis limit

jan 2 at 20:56 Thomas Andrews 29.8k

1

vote

1

answer

97

views

Elementary set theory problem — department libraries

elementary-set-theory

dec 25 at 21:25 Brian M. Scott 154k

0

votes

2

answers

87

views

Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$

homework functions

jan 12 at 0:08 Peter Smith 11.6k

0

votes

3

answers

71

views

Determine pairs that make two systems of linear equations equivalent

homework linear-algebra

jan 6 at 18:27 user1551 16.7k

1

0

votes

3

answers

310

views

If a series is conditionally convergent, then the series of positive and negative terms are both divergent

homework real-analysis sequences-and-series convergence

jan 4 at 22:10 V. Galerkin 361

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