Relation and Functions – Page 92

f-x-x-20-a-1-x-19-a-2-x-18-a-20-If-f-1-f-2-f-3-f-20-What-is-the-value-of-a-1-

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Question Number 33571 by Joel578 last updated on 19/Apr/18 $f (x) = x^{20} + a_{1} x^{19} + a_{2} x^{18} + \dots + a_{20}$ $If f (1) = f (2) = f (3) = \dots = f (20)$ $What is the value of a_{1} ?$ Answered by MJS…

calculate-lim-n-0-n-1-t-n-n-arctan-nt-dt-

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Question Number 98945 by mathmax by abdo last updated on 17/Jun/20 $calculate \lim_{n \to + \infty} \int_{0}^{n} {(1 - \frac{t}{n})}^{n} \arctan (nt) dt$ Terms of Service Privacy Policy Contact: info@tinkutara.com

let-f-x-1-1-x-2-3-developp-f-at-integr-serie-

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Question Number 98943 by mathmax by abdo last updated on 17/Jun/20 $let f (x) = \frac{1}{{(1 + x^{2})}^{3}} developp f at integr serie$ Answered by maths mind last updated on 17/Jun/20 $${f}\left({x}\right)=\frac{\mathrm{1}}{\left(\mathrm{1}+{x}^{\mathrm{2}}…

if-1-1-x-n-m-0-a-m-x-m-determinate-a-m-

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Question Number 98940 by mathmax by abdo last updated on 17/Jun/20 $if \frac{1}{{(1 + x)}^{n}} = \sum_{m = 0}^{\infty} a_{m} x^{m} determinate a_{m}$ Commented by mr W last updated…

If-f-R-R-is-an-odd-function-such-that-a-f-1-x-1-f-x-b-x-2-f-1-x-f-x-x-0-Then-find-f-x-

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Question Number 33375 by rahul 19 last updated on 15/Apr/18 $I f f : R \to R i s a n o d d f u n c t i o n s u c h$ $t h a t :$ $a) f (1 + x) = 1 + f (x) .$ $b) x^{2} f (\frac{1}{x}) = f (x), x \neq 0 .$ $T h e n f i n d f (x) ?$ Commented by prof…

let-consider-the-serie-n-1-sin-1-n-x-n-1-find-the-radius-of-convergence-2-study-the-convergence-at-R-and-R-3-let-S-x-its-sum-study-the-continuity-of-S-4-prove-that-1-x-x-1-S-x-0-

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Question Number 33359 by caravan msup abdo. last updated on 15/Apr/18 $l e t c o n s i d e r t h e s e r i e \sum_{n ⩾ 1} s i n (\frac{1}{\sqrt{n}}) x^{n}$ $1) f i n d t h e r a d i u s o f c o n v e r g e n c e$ $2) s t u d y t h e c o n v e r g e n c e a t - R a n d R$ $3) l e t S (x) i t s s u m s t u d y t h e c o n t i n u i t y$ $o f S$ $$\left.\mathrm{4}\right)\:{prove}\:{that}\:\left(\mathrm{1}−{x}\right)_{{x}\rightarrow\mathrm{1}^{−} } {S}\left({x}\right)\rightarrow\mathrm{0}…

prove-that-p-1-z-p-1-z-p-q-1-1-q-1-z-q-1-z-q-

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Question Number 33358 by caravan msup abdo. last updated on 15/Apr/18 $p r o v e t h a t \sum_{p = 1}^{\infty} \frac{z^{p}}{1 + z^{p}} = \sum_{q = 1}^{\infty} {(- 1)}^{q - 1} \frac{z^{q}}{1 - z^{q}}$ Terms of…

find-the-radius-of-n-1-ln-n-n-3-n-1-z-n-

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Question Number 33354 by caravan msup abdo. last updated on 15/Apr/18 $f i n d t h e r a d i u s o f \sum_{n ⩾ 1} \frac{l n (n)}{\sqrt{n^{3} + n + 1}} z^{n}$ Commented by math khazana by abdo last updated on…

let-a-1-find-the-radius-of-n-1-arc-cos-1-1-n-a-z-n-

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Question Number 33355 by caravan msup abdo. last updated on 15/Apr/18 $l e t a ⩾ 1 f i n d t h e r a d i u s o f$ $\sum_{n ⩾ 1} a r c c o s (1 - \frac{1}{n^{a}}) z^{n}$ Terms of Service Privacy Policy Contact: info@tinkutara.com

let-S-n-k-1-1-k-1-k-and-T-n-k-1-1-k-1-2k-1-1-calculate-lim-S-n-and-lim-T-n-n-2-prove-that-S-n-ln2-and-T-n-pi-4-converges-and-find-its-sum-

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Question Number 33348 by caravan msup abdo. last updated on 14/Apr/18 $l e t S_{n} = \sum_{k = 1}^{\infty} \frac{{(- 1)}^{k - 1}}{k} a n d$ $\underset{n}{T} = \sum_{k = 1}^{\infty} \frac{{(- 1)}^{k - 1}}{2 k - 1}$ $$\left.\mathrm{1}\right)\:{calculate}\:{lim}\:{S}_{{n}} \:\:{and}\:{lim}\:{T}_{{n}}…

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