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AllQuestion and Answers: Page 477

Question Number 165457 Answers: 1 Comments: 19

Question Number 165514 Answers: 1 Comments: 0

Question Number 165512 Answers: 0 Comments: 0

Σ_(n=0) ^∞ ((2n+1)/(e^((2n+1)π) +1))=^? (1/(24)) −−−−−−−−−−−−−−by Mr. Levent

$\underset{n = 0}{\sum^{\infty}} \frac{2 n + 1}{e^{(2 n + 1) π} + 1} \overset{?}{=} \frac{1}{24}$ $- - - - - - - - - - - - - - by Mr . Levent$

Question Number 165442 Answers: 1 Comments: 0

Question Number 165441 Answers: 1 Comments: 0

Question Number 165435 Answers: 1 Comments: 0

Question Number 165433 Answers: 1 Comments: 0

Question Number 165431 Answers: 2 Comments: 0

Question Number 165428 Answers: 1 Comments: 0

Question Number 165424 Answers: 0 Comments: 1

Question Number 165422 Answers: 0 Comments: 0

Question Number 165426 Answers: 0 Comments: 1

prove that ζ (0 )= ((−1)/2)

$p r o v e t h a t$ $ζ (0) = \frac{- 1}{2}$

Question Number 165419 Answers: 1 Comments: 0

Question Number 165418 Answers: 0 Comments: 0

prove that : 1^∗ : Σ_(n=1) ^∞ (( ζ (2n )−1)/( 1+ n)) = (3/(2 )) − ln (π ) 2^( ∗∗) : Σ_(n=2) ^∞ (( (−1)^( n) ( ζ (n )−1 ))/(1 + n))=(3/2) +(γ/2) −((ln(8π))/2) 3^( ∗∗) : Σ_(n=1) ^∞ (( ζ (2n )−1)/(1+ 2n)) = (3/2) −((ln(4π))/2) −−−− m.n −−−−

$p r o v e t h a t :$ $1^{*} : \underset{n = 1}{\sum^{\infty}} \frac{ζ (2 n) - 1}{1 + n} = \frac{3}{2} - \ln (π)$ $2^{* *} : \underset{n = 2}{\sum^{\infty}} \frac{{(- 1)}^{n} (ζ (n) - 1)}{1 + n} = \frac{3}{2} + \frac{γ}{2} - \frac{\ln (8 π)}{2}$ $3^{* *} : \underset{n = 1}{\sum^{\infty}} \frac{ζ (2 n) - 1}{1 + 2 n} = \frac{3}{2} - \frac{\ln (4 π)}{2}$ $- - - - m . n - - - -$

Question Number 165404 Answers: 0 Comments: 9

given a loan from a bank on a fixed interest rate 5% suppose i want to make monthly payments for 14months how do i calculate the amount i should pay monthly and how do i know how much i will pay back to the bank at the end of the 14months? please i need explanations.

$given a loan from a bank on a fixed interest rate 5 %$ $suppose i want to make monthly payments for 14 months$ $how do i calculate the amount i should pay monthly and$ $how do i know how much i will pay back to the bank at the$ $end of the 14 months ?$ $please i need explanations .$

Question Number 165403 Answers: 0 Comments: 0

sec^2 1° + sec^2 2° + sec^2 3° + …+ sec^2 89° = ?

$\sec^{2} 1 ° + \sec^{2} 2 ° + \sec^{2} 3 ° + \dots + \sec^{2} 89 ° = ?$

Question Number 165402 Answers: 0 Comments: 1

Question Number 165532 Answers: 1 Comments: 0

Question Number 165392 Answers: 2 Comments: 0

lim_(x→+∞) ((e^(1/x) −cos (1/x))/(1−(√(1−(1/x^2 ))))) lim_(x→a) ((x^x −a^a )/(x−a))

$\lim_{x \to + \infty} \frac{e^{\frac{1}{x}} - \cos \frac{1}{x}}{1 - \sqrt{1 - \frac{1}{x^{2}}}}$ $\lim_{x \to a} \frac{x^{x} - a^{a}}{x - a}$

Question Number 165389 Answers: 2 Comments: 1

Question Number 165385 Answers: 1 Comments: 1

Number of ways..n differrnt things be distributed in r identical boxes so as 1)empty box is allowed 2)empty box not allowed Number of ways...n identical things be distributed to r identical boxes so as 1)empty box allowed 2)empty box not allowed

$N u m b e r o f w a y s . . n$ $d i f f e r r n t t h i n g s b e d i s t r i b u t e d$ $i n r i d e n t i c a l b o x e s s o a s$ $1) e m p t y b o x i s a l l o w e d$ $2) e m p t y b o x n o t a l l o w e d$ $N u m b e r o f w a y s . . . n i d e n t i c a l$ $t h i n g s b e d i s t r i b u t e d t o r$ $i d e n t i c a l b o x e s s o a s$ $1) e m p t y b o x a l l o w e d$ $2) e m p t y b o x n o t a l l o w e d$

Question Number 165383 Answers: 0 Comments: 0

Find the value of this expression (−1)(2^2 −1)+(((3^2 −2))/(2!)) − (((4^2 −3))/(3!)) + …+ (((2019^2 −2018))/(2018!))

$F i n d t h e v a l u e o f t h i s e x p r e s s i o n$ $(- 1) (2^{2} - 1) + \frac{(3^{2} - 2)}{2!} - \frac{(4^{2} - 3)}{3!} + \dots + \frac{(2019^{2} - 2018)}{2018!}$

Question Number 165382 Answers: 0 Comments: 1

Question Number 165381 Answers: 2 Comments: 1

Question Number 165380 Answers: 1 Comments: 0

∫_0 ^( (π/2)) (( x^( 3) )/(sin^( 2) (x)))dx=^? (3/8) (π^( 2) ln(4)−7ζ(3))

$\int_{0}^{\frac{π}{2}} \frac{x^{3}}{{s i n}^{2} (x)} d x \overset{?}{=} \frac{3}{8} (π^{2} l n (4) - 7 ζ (3))$

Question Number 165376 Answers: 1 Comments: 0

Verify wether f is invertible f (x) = (1+2x)^3

$Verify wether f is invertible$ $f (x) = {(1 + 2 x)}^{3}$

Pg 472 Pg 473 Pg 474 Pg 475 Pg 476 Pg 477 Pg 478 Pg 479 Pg 480 Pg 481

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