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Tars Nolan

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19 Questions

Views Newest Activity Votes

votes

answers

478

views

How to solve the recurrence $T(n) = T(n-2) + log(n)$?

recursion

Nov 20 '17 at 12:35 Community♦ 1

votes

answers

214

views

How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?

induction

Jul 28 '16 at 3:29 Erick Wong 21.6k

votes

answer

309

views

Negate epsilon-delta continuity

real-analysis logic

Oct 3 '16 at 18:16 Pedro Vaz Pimenta 585

votes

answers

591

views

Is the limit of sequence enough of a proof for convergence?

calculus sequences-and-series limits convergence-divergence

Oct 23 '16 at 16:16 Dahn 3,888

votes

answer

views

How do I calculate surface of ellipse rotating around x axel?

integration definite-integrals

Dec 13 '16 at 1:19 John Wayland Bales 16.7k

votes

answers

views

How can sum of two polynomials be equal to $\sum_{k=0}^{MAX(n,m)} (a_{k}+b_{k})x^{k}$?

polynomials

Oct 19 '16 at 19:36 Tars Nolan 377

votes

answers

views

How to prove with contradiction that if $n^{5}$ is odd, then is also $n$ odd?

number-theory

Oct 15 '16 at 13:47 DonAntonio 188k

votes

answer

views

How to prove this $\sum_{l=0}^{n}l\binom{n}{l}=n2^{n-1}$ with induction? [closed]

induction

Oct 10 '16 at 21:13 studiosus 3,084

vote

answers

105

views

Prove inequality $(a_1+a_2+…+a_n)(\frac1{a_1}+\frac1{a_2}+…+\frac1{a_n})\geq n^2$ when $a_1,a_2,…,a_n$ are positive numbers. [duplicate]

inequality summation

Jan 21 '19 at 14:09 Martin Sleziak 52.5k

vote

answers

views

How to calculate approximation of integral by developing integrant into power series?

definite-integrals power-series

Jan 12 '17 at 20:06 Mercy King 14.4k

vote

answers

views

How to prove that $f(x)$ is equal to $ \frac{1}{2}(\exp(x) -\exp(-x)) $?

functions exponential-sum

Nov 17 '16 at 10:56 Jimmy R. 33.8k

vote

answer

views

How to prove $2^{2n}\leq n!$ for all $n\geq 9$ with induction?

induction

Oct 13 '16 at 16:25 Edu 1,633

vote

answers

views

How to determine the convergence behavior of the sequence $x_{n}=\sqrt{n^{2}+11n+21}-\sqrt{n^{2}+6}$?

sequences-and-series convergence-divergence

Jul 28 '16 at 12:03 Claude Leibovici 145k

vote

answers

129

views

How to prove inequality $3^{n}≤4n!$ for $n≥4$ with mathematical induction?

induction

Jul 25 '16 at 23:28 Community♦ 1

votes

answer

views

How to prove this equality, $log(O(5^{n})) = O(n)$?

asymptotics

Oct 22 '17 at 11:41 Teddan the Terran 1,426

votes

answers

views

How to find coefficients in this sum?

sequences-and-series summation power-series

Nov 22 '16 at 2:17 hypergeometric 20.4k

votes

answers

123

views

How to prove if the series $\sum\limits_{n=2}^{\infty} \frac{n+1}{n^3-1} $ converges or diverges with comparison test?

sequences-and-series convergence-divergence divergent-series

Nov 12 '16 at 17:38 E.H.E 22.2k

votes

answers

172

views

How to determine real and imaginary part of $z^{2} -7z + (13+i)=0$? [closed]

complex-analysis complex-numbers

Nov 6 '16 at 1:10 астон вілла олоф мэллбэрг 46.5k

votes

answers

327

views

How to prove if this $\sum_{l=0}^{n}\binom{n}{l}=2^{n}$ is valid for all $n\in \mathbb{N}$? [duplicate]

induction

Jul 23 '16 at 19:05 Hrhm 2,625

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19 Questions

How to solve the recurrence $T(n) = T(n-2) + log(n)$?

How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?

Negate epsilon-delta continuity

Is the limit of sequence enough of a proof for convergence?

How do I calculate surface of ellipse rotating around x axel?

How can sum of two polynomials be equal to $\sum_{k=0}^{MAX(n,m)} (a_{k}+b_{k})x^{k}$?

How to prove with contradiction that if $n^{5}$ is odd, then is also $n$ odd?

How to prove this $\sum_{l=0}^{n}l\binom{n}{l}=n2^{n-1}$ with induction? [closed]

Prove inequality $(a_1+a_2+…+a_n)(\frac1{a_1}+\frac1{a_2}+…+\frac1{a_n})\geq n^2$ when $a_1,a_2,…,a_n$ are positive numbers. [duplicate]

How to calculate approximation of integral by developing integrant into power series?

How to prove that $f(x)$ is equal to $ \frac{1}{2}(\exp(x) -\exp(-x)) $?

How to prove $2^{2n}\leq n!$ for all $n\geq 9$ with induction?

How to determine the convergence behavior of the sequence $x_{n}=\sqrt{n^{2}+11n+21}-\sqrt{n^{2}+6}$?

How to prove inequality $3^{n}≤4n!$ for $n≥4$ with mathematical induction?

How to prove this equality, $log(O(5^{n})) = O(n)$?

How to find coefficients in this sum?

How to prove if the series $\sum\limits_{n=2}^{\infty} \frac{n+1}{n^3-1} $ converges or diverges with comparison test?

How to determine real and imaginary part of $z^{2} -7z + (13+i)=0$? [closed]

How to prove if this $\sum_{l=0}^{n}\binom{n}{l}=2^{n}$ is valid for all $n\in \mathbb{N}$? [duplicate]