Relation and Functions – Page 115

find-A-n-k-0-n-C-n-k-cos-kx-and-B-n-k-0-n-C-n-k-sin-kx-

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Question Number 30496 by abdo imad last updated on 22/Feb/18 $f i n d A_{n} = \sum_{k = 0}^{n} C_{n}^{k} c o s (k x) a n d B_{n} = \sum_{k = 0}^{n} C_{n}^{k} s i n (k x)$ Terms of…

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

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Question Number 30492 by abdo imad last updated on 22/Feb/18 $l e t (u_{n)} / u_{n + 1} = u_{n} + \frac{1}{n} f i n d a e q u i v a l e n t o f u_{n} f o r$ $n \to \infty .$ Terms of Service Privacy…

f-function-derivable-at-o-and-f-0-0-let-S-n-k-0-n-f-k-n-2-find-lim-n-S-n-

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Question Number 30490 by abdo imad last updated on 22/Feb/18 $f f u n c t i o n d e r i v a b l e a t o a n d f (0) = 0 l e t$ $S_{n} = \sum_{k = 0}^{n} f (\frac{k}{n^{2}}) . f i n d {l i m}_{n \to \infty} S_{n} .$ Terms of Service Privacy…

let-a-n-k-2-n-cos-pi-2-k-prove-that-a-n-ks-decreasing-2-let-b-n-a-n-cos-pi-2-n-find-lim-n-a-n-b-n-

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Question Number 30488 by abdo imad last updated on 22/Feb/18 $l e t a_{n} = \prod_{k = 2}^{n} c o s (\frac{π}{2^{k}}) . p r o v e t h a t (a_{n}) k s d e c r e a s i n g .$ $$\left.\mathrm{2}\right)\:{let}\:{b}_{{n}} ={a}_{{n}} {cos}\left(\frac{\pi}{\mathrm{2}^{{n}} }\right)\:\:{find}\:{lim}_{{n}\rightarrow\infty} \left({a}_{{n}} \:−{b}_{{n}} \right). \…

let-give-a-n-k-1-n-cos-pi-k-2-and-b-n-k-1-n-sin-pi-k-2-1-find-a-equivalent-foe-a-n-and-b-n-2-find-a-equivalent-of-a-n-b-n-

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Question Number 30486 by abdo imad last updated on 22/Feb/18 $l e t g i v e a_{n} = \prod_{k = 1}^{n} c o s (\frac{π}{(k + 2)!}) a n d$ $b_{n} = \prod_{k = 1}^{n} s i n (\frac{π}{(k + 2)!})$ $1) f i n d a e q u i v a l e n t f o e a_{n} a n d b_{n}$ $$\left.\mathrm{2}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{a}_{{n}} .{b}_{{n}}…

1-prove-that-x-gt-0-x-x-1-ln-1-x-x-2-let-put-S-n-k-1-n-1-k-n-find-lim-n-S-n-

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Question Number 30485 by abdo imad last updated on 22/Feb/18 $1) p r o v e t h a t \forall x > 0 \frac{x}{x + 1} ⩽ l n (1 + x) ⩽ x$ $2) l e t p u t S_{n} = \prod_{k = 1}^{n} (1 + \frac{k}{n}) f i n d {l i m}_{n \to \infty} S_{n} .$ Commented by chantriachheang last updated…

1-prove-that-if-f-is-decreasing-function-we-have-n-n-1-f-t-dt-lt-f-n-lt-n-1-n-f-t-dt-2-let-put-S-n-k-1-n-2-1-2-k-calculate-S-n-

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Question Number 30484 by abdo imad last updated on 22/Feb/18 $1) p r o v e t h a t i f f i s d e c r e a s i n g f u n c t i o n w e h a v e$ $\int_{n}^{n + 1} f (t) d t < f (n) < \int_{n - 1}^{n} f (t) d t .$ $$\left.\mathrm{2}\right)\:{let}\:{put}\:\:{S}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}^{\mathrm{2}} } \:\:\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{{k}}}\:.{calculate}\:\left[{S}_{{n}} \right]. \…

we-define-the-bernoulli-polynomial-B-n-by-b-0-1-and-n-N-b-n-n-b-n-1-and-0-1-b-n-t-dt-0-1-find-b-n-1-b-n-0-for-n-2-2-prove-that-b-n-x-1-n-b-n-1-x-n-N-3-calculate-b-0

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Question Number 30483 by abdo imad last updated on 22/Feb/18 $w e d e f i n e t h e b e r n o u l l i p o l y n o m i a l B_{n} b y$ $b_{0} = 1 a n d \forall n \in N^{★} b_{n}^{^{'}} = n b_{n - 1} a n d \int_{0}^{1} b_{n} (t) d t = 0$ $$\left.\mathrm{1}\right)\:{find}\:{b}_{{n}} \left(\mathrm{1}\right)−{b}_{{n}}…

let-w-n-x-k-1-n-x-k-k-find-w-n-x-for-x-lt-1-2-find-lim-n-w-n-x-

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Question Number 30443 by abdo imad last updated on 22/Feb/18 $l e t w_{n} (x) = \sum_{k = 1}^{n} \frac{x^{k}}{k} f i n d w_{n} (x) f o r ∣ x ∣< 1$ $2) f i n d {l i m}_{n \to \infty} w_{n} (x) .$ Terms of Service…

let-x-n-1-1-n-x-prove-that-x-1-x-1-o-1-

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Question Number 30438 by abdo imad last updated on 22/Feb/18 $l e t ξ (x) = \sum_{n = 1}^{\infty} \frac{1}{n^{x}} p r o v e t h a t$ $ξ (x) = γ + \frac{1}{x - 1} + o (1) .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Category: Relation and Functions