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kurkowski
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4 votes
6 answers
166 views

How can I show that $\lim_{n\to\infty} 2^n \left( \frac{n}{n+1} \right ) ^{n^2} = 0$?

4 votes
6 answers
361 views

Summation inductional proof: $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots+\frac{1}{n^2}<2$ [duplicate]

3 votes
5 answers
7k views

Maximum formula: $\max\{x,y\}=\frac{1}{2} \left(x+y+|x-y|\right)$ [duplicate]

3 votes
4 answers
430 views

Investigate convergence of the following series

3 votes
2 answers
137 views

Limit of exponential series

2 votes
2 answers
198 views

Summation of a series: if $s=\sum_{i=1}^\infty aix^i$, then $s=\frac{a}{1-x}+xs$

2 votes
3 answers
604 views

General term of the series - find

2 votes
1 answer
38 views

Differentiable function question about pair of points

2 votes
7 answers
252 views

Irrational number inequality : $1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}>\sqrt{3}$

2 votes
4 answers
122 views

Show that function is bounded

1 vote
2 answers
375 views

Investigate convergence of the series

1 vote
1 answer
914 views

Finding basis of inverse image

1 vote
2 answers
5k views

Formula for the sum of fractions [duplicate]

1 vote
4 answers
78 views

Quickest way to calculate the limit

1 vote
1 answer
266 views

Convergence of a series with trigonometric functions

1 vote
2 answers
88 views

Linear transformation ker and image

1 vote
2 answers
104 views

Finding linear transformation such that $\operatorname{im} \phi = \ker \phi = \operatorname{span}(\alpha_1, \alpha_2)$

1 vote
2 answers
43 views

Convergence depending on the parameter

1 vote
1 answer
2k views

Sum of logarithmic series

1 vote
1 answer
119 views

Give the following linear transformation find values of parameter

1 vote
2 answers
595 views

Epimorphism of linear transformation

1 vote
3 answers
164 views

Isomorphism of linear map

1 vote
1 answer
41 views

Lipschitz's continuity general question

1 vote
1 answer
37 views

Radius of the convergence of the series

1 vote
1 answer
56 views

Find base vectors and dim

1 vote
4 answers
497 views

Investigate the convergence of

1 vote
3 answers
70 views

Proof with derivatives (most likely induction)

1 vote
2 answers
126 views

Taylor expansion of the series

0 votes
2 answers
69 views

easiest approach to calculate basis

0 votes
2 answers
57 views

Find system of equations such that