Relation and Functions – Page 57

find-the-value-of-n-1-2n-3-n-2-n-1-2-

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Question Number 41051 by turbo msup by abdo last updated on 01/Aug/18 $f i n d t h e v a l u e o f \sum_{n = 1}^{\infty} \frac{2 n + 3}{n^{2} {(n + 1)}^{2}}$ Commented by math khazana by abdo…

let-f-x-0-te-t-2-arctan-xt-dt-1-find-a-simple-form-of-f-x-2-calculate-0-te-t-2-arctantdt-and-0-t-e-t-2-arctan-2t-dt-3-let-u-n-0-t-e-t-2-arctan-nt-dt-

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Question Number 40984 by prof Abdo imad last updated on 30/Jul/18 $l e t f (x) = \int_{0}^{\infty} {t e}^{- t^{2}} a r c t a n (x t) d t$ $1) f i n d a s i m p l e f o r m o f f (x)$ $$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:{te}^{−{t}^{\mathrm{2}} } {arctantdt}\:{and} \…

let-u-n-k-1-n-1-n-k-n-k-1-find-a-equivalent-of-u-n-n-

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Question Number 40898 by abdo.msup.com last updated on 28/Jul/18 $l e t u_{n} = \sum_{k = 1}^{n - 1} \frac{n - k}{n - k + 1}$ $f i n d a e q u i v a l e n t o f u_{n} (n \to + \infty)$ Commented by maxmathsup by imad last updated…

calculate-n-1-n-n-1-2-n-2-

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Question Number 40897 by abdo.msup.com last updated on 28/Jul/18 $c a l c u l a t e \sum_{n = 1}^{\infty} \frac{n}{{(n + 1)}^{2} (n + 2)}$ Commented by math khazana by abdo last updated on 03/Aug/18…

prove-that-for-x-lt-1-1-1-x-n-0-1-n-C-2n-n-4-k-x-2k-

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Question Number 40895 by abdo.msup.com last updated on 28/Jul/18 $p r o v e t h a t f o r ∣ x ∣< 1$ $\frac{1}{\sqrt{1 + x}} = \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n} C_{2 n}^{n}}{4^{k}} x^{2 k}$ Terms of Service Privacy Policy…

for-x-lt-1-prove-that-1-1-x-2-n-0-C-2n-n-4-n-x-2n-

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Question Number 40896 by abdo.msup.com last updated on 28/Jul/18 $f o r ∣ x ∣< 1 p r o v e t h a t$ $\frac{1}{\sqrt{1 - x^{2}}} = \sum_{n = 0}^{\infty} \frac{C_{2 n}^{n}}{4^{n}} x^{2 n}$ Terms of Service Privacy Policy…

prove-that-1-0-1-t-p-ln-t-t-1-dt-pi-2-6-k-1-p-1-k-2-2-0-1-t-2p-ln-t-t-2-1-dt-pi-2-8-k-0-p-1-1-2k-1-2-

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Question Number 40885 by prof Abdo imad last updated on 28/Jul/18 $p r o v e t h a t$ $1) \int_{0}^{1} \frac{t^{p} l n (t)}{t - 1} d t = \frac{π^{2}}{6} - \sum_{k = 1}^{p} \frac{1}{k^{2}}$ $$\left.\mathrm{2}\right)\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{t}^{\mathrm{2}{p}}…

f-x-f-1-1-x-1-1-x-1-x-f-x-

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Question Number 171955 by infinityaction last updated on 22/Jun/22 $f (x) + f (\frac{1}{1 - x}) = 1 + \frac{1}{x (1 - x)}$ $f (x) = ? ?$ Answered by thfchristopher last updated on 22/Jun/22 $1 + \frac{1}{x (1 - x)}$ $$=\frac{{x}−{x}^{\mathrm{2}} +\mathrm{1}}{{x}\left(\mathrm{1}−{x}\right)}…

1-prove-that-n-2-n-inyegr-x-2n-1-x-1-x-1-k-1-n-1-x-2-2cos-kpi-n-x-1-2-find-the-value-of-0-pi-ln-x-2-2xcost-1-dt-

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Question Number 40882 by prof Abdo imad last updated on 28/Jul/18 $1) p r o v e t h a t \forall n ⩾ 2 (n i n y e g r)$ $x^{2 n} - 1 = (x - 1) (x + 1) \prod_{k = 1}^{n - 1} (x^{2} - 2 c o s (\frac{k π}{n}) x + 1)$ $2) f i n d t h e v a l u e o f \int_{0}^{π} l n (x^{2} - 2 x c o s t + 1) d t$ …

prove-that-k-n-1-k-1-1-n-1-with-gt-1-

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Question Number 40880 by prof Abdo imad last updated on 28/Jul/18 $p r o v e t h a t \sum_{k = n}^{\infty} \frac{1}{k^{α}} \sim \frac{1}{(α - 1) n^{α - 1}} w i t h α > 1$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Category: Relation and Functions