Relation and Functions – Page 118

study-the-convergence-of-u-n-k-1-n-1-k-1-C-n-k-k-for-that-use-H-n-k-1-n-1-k-

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Question Number 30214 by abdo imad last updated on 18/Feb/18 $s t u d y t h e c o n v e r g e n c e o f u_{n} = \sum_{k = 1}^{n} {(- 1)}^{k - 1} \frac{C_{n}^{k}}{k}$ $f o r t h a t u s e H_{n} = \sum_{k = 1}^{n} \frac{1}{k} .$ Commented…

let-f-a-b-R-continue-let-suppose-f-derivable-on-a-b-and-x-a-b-f-x-gt-0-prove-that-c-a-b-f-b-f-a-e-b-a-f-c-f-c-

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Question Number 30212 by abdo imad last updated on 18/Feb/18 $l e t f [a, b] \to R c o n t i n u e l e t s u p p o s e f d e r i v a b l e o n [a, b]$ $a n d \forall x \in [a, b] f (x) > 0 p r o v e t h a t$ $\exists c \in] a, b [/ \frac{f (b)}{f (a)} = e^{(b - a) \frac{f^{,} (c)}{f (c)}} .$ Commented by abdo imad last updated…

p-integr-and-p-2-1-prove-that-c-0-1-ln-ln-p-1-ln-lnp-1-p-c-ln-p-c-2-prove-that-ln-ln-p-1-ln-ln-p-lt-1-plnp-3-prove-that-lim-n-k-2-n-1-klnk-

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Question Number 30213 by abdo imad last updated on 18/Feb/18 $p i n t e g r a n d p ⩾ 2$ $1) p r o v e t h a t \exists c \in] 0, 1 [/$ $l n (l n (p + 1)) - l n (l n p) = \frac{1}{(p + c) l n (p + c)}$ $2) p r o v e t h a t l n (l n (p + 1)) - l n (l n (p)) < \frac{1}{p l n p}$ $3) p r o v e t h a t {l i m}_{n \to \infty} \sum_{k = 2}^{n} \frac{1}{k l n k} = + \infty .$ Terms…

let-p-n-x-1-k-1-k-x-k-1-prove-that-the-equation-p-n-x-0-have-only-one-solution-x-n-0-1-2-prove-that-x-n-is-decreasing-and-minored-by-1-2-3-prove-that-lim-n-x-n-1-2-

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Question Number 30193 by abdo imad last updated on 17/Feb/18 $l e t p_{n} (x) = - 1 + \sum_{k = 1}^{k} x^{k}$ $1) p r o v e t h a t t h e e q u a t i o n p_{n} (x) = 0 h a v e o n l y o n e$ $s o l u t i o n x_{n} \in [0, 1] .$ $2) p r o v e t h a t (x_{n}) i s d e c r e a s i n g a n d m i n o r e d b y \frac{1}{2}$ $$\left.\mathrm{3}\right)\:{prove}\:{that}\:{lim}_{{n}\rightarrow\infty}…

study-the-convergence-of-u-n-k-0-n-1-C-n-k-with-C-n-k-n-k-n-k-

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Question Number 30194 by abdo imad last updated on 17/Feb/18 $s t u d y t h e c o n v e r g e n c e o f u_{n} = \sum_{k = 0}^{n} \frac{1}{C_{n}^{k}} w i t h$ $C_{n}^{k} = \frac{n!}{k! (n - k)!} .$ Commented by prof…

study-the-sequence-u-n-1-1-u-n-2-2-with-1-lt-u-0-lt-1-

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Question Number 30190 by abdo imad last updated on 17/Feb/18 $s t u d y t h e s e q u e n c e u_{n + 1} = \sqrt{\frac{1 + u_{n}^{2}}{2}} w i t h - 1 < u_{0} < 1 .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

let-x-R-and-u-n-k-0-n-cos-x-2-k-find-a-simple-form-of-u-n-

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Question Number 30177 by abdo imad last updated on 17/Feb/18 $l e t x \in R a n d u_{n} = \prod_{k = 0}^{n} c o s (\frac{x}{2^{k}}) f i n d a s i m p l e f o r m o f$ $u_{n} .$ Answered by Tinkutara last updated…

let-u-n-k-1-n-1-k-n-2-1-verify-that-x-x-2-2-ln-1-x-x-2-prove-that-u-n-is-convergente-and-find-its-limit-

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Question Number 30173 by abdo imad last updated on 18/Feb/18 $l e t u_{n} = \prod_{k = 1}^{n} (1 + \frac{k}{n^{2}})$ $1 . v e r i f y t h a t x - \frac{x^{2}}{2} ⩽ l n (1 + x) ⩽ x$ $2 . p r o v e t h a t (u_{n}) i s c o n v e r g e n t e a n d f i n d i t s l i m i t .$ Commented by…

let-u-n-k-1-n-1-k-1-prove-that-ln-n-1-u-n-ln-n-1-2-show-that-u-n-n-ln-n-

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Question Number 30174 by abdo imad last updated on 18/Feb/18 $l e t u_{n} = \sum_{k = 1}^{n} \frac{1}{k}$ $1 . p r o v e t h a t l n (n + 1) ⩽ u_{n} ⩽ l n (n) + 1$ $2 . s h o w t h a t u_{n}_{n \to \infty} \sim l n (n) .$ Terms of…

solve-by-laplace-transform-y-3y-2y-e-x-withy-0-1-and-y-0-2-

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Question Number 95694 by mathmax by abdo last updated on 27/May/20 $solve by laplace transform y^{^{″}} + {3 y}^{^{'}} + 2 y = e^{- x} withy (0) = 1 and y^{^{'}} (0) = 2$ Answered by mathmax by abdo last updated…

Category: Relation and Functions