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DanielG
  • Member for 3 years, 7 months
  • Last seen more than a month ago
5 votes
2 answers
147 views

help with $\lim_{n\to\infty}\left(\frac{1}{n^{2}}+\frac{2}{n^{2}}+\cdots+\frac{n-1}{n^{2}}\right)$

4 votes
3 answers
228 views

convergence $\sum_{n=1}^{\infty}\frac{1}{n}\sin\left(\frac{\pi}{n^{2}}\right)$

2 votes
2 answers
114 views

Use the definition of a limit to prove the following: $\lim_{x\to4}\frac{x-2}{\sqrt{x}+2}=\frac{1}{2}$

1 vote
2 answers
116 views

Find bijection $\Bbb R\setminus\Bbb Q \to \Bbb R$ [duplicate]

1 vote
1 answer
207 views

prove $T(n)=max_{1\leq q\leq n-1}(T(q)+T(n-q))+\theta(n) \\~\\ \Longrightarrow T(n)=O(n^{2})$

1 vote
1 answer
40 views

show that the series is descending

1 vote
1 answer
81 views

Prove: $\forall a,b\in\mathbb{Z}$, $x\in G$ : $\left\langle x^{a},x^{b}\right\rangle =\left\langle x^{d}\right\rangle $ [duplicate]

1 vote
1 answer
78 views

Finding the Maclaurin polynomial of order 6 of: $f(x)=x\ln(1+x^{3})\ln(1-x^{2})$

1 vote
1 answer
148 views

Find the points on the curve where the tangent is horizontal

1 vote
1 answer
69 views

Determine if language $L=\{xyxz\,\,|\,\,x\neq\varepsilon,\,\,x,y,z\in\{0,1\}^{*}\}$ is regular

1 vote
2 answers
97 views

If $L_1L_2$ is regular language, is $L_2L_1$ regular as well?

1 vote
1 answer
80 views

Use the definition of a limit to prove the following: $\lim\limits_{x\to0}\frac{\cos x}{x^{2}}=\infty$

1 vote
0 answers
46 views

Bayesian belief network - calculate probability

0 votes
0 answers
60 views

Calculate a non trivial divider of a number

0 votes
0 answers
24 views

For which t values the two vectors are parallel to each other

0 votes
0 answers
79 views

Find the points on the curve where the tangent is vertical

0 votes
2 answers
31 views

Find the point where $\tau(t)$ is minimal.

0 votes
2 answers
384 views

If a fair die is rolled 10 times, what is the probability that number 5 appears 3 times and the number 6 appears 2 times?

0 votes
0 answers
158 views

Complement of a regular expression

0 votes
0 answers
117 views

Find regular expression for a given language $L=\{0^{n}1^{m}\,\,\,|\,\,\,n+m(mod3)\neq0\}$

0 votes
1 answer
72 views

Prove that the language is not regular without using the Pumping Lemma

0 votes
1 answer
56 views

Determine if language is regular

0 votes
0 answers
280 views

prove if $E_{1},E_{2},...,E_{n}$ are independent events then $p(\cup_{i=1}^{n}E_{i})=1-\prod_{i=1}^{n}[1-p(E_{i})]$

0 votes
2 answers
40 views

The Chain rule - prove identity

0 votes
2 answers
67 views

Find subgroup $\langle a,b\rangle$ of $\Bbb Z_{20}^*$ which is not cyclic.

0 votes
1 answer
85 views

Solving a limit using Maclaurin series $ \lim_{x\to0}\frac{xe^{2x}+xe^{-2x}-4x^{3}-2x}{\sin^{2}x-x^{2}} $

0 votes
0 answers
36 views

linear congruence, find the tens digit of a number

0 votes
1 answer
306 views

calculate the infinite integral $ \int_{0}^{\infty}e^{x}\cos(x)dx $

0 votes
5 answers
150 views

Proving $\mathbb{Q\times Z}$ is countable [closed]

0 votes
0 answers
49 views

prove that $(n+3)^{2}=\Theta(n-5)^{2}$