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AllQuestion and Answers: Page 474

Question Number 166701 Answers: 2 Comments: 0

Question Number 166699 Answers: 1 Comments: 0

lim_(n→∞) Σ_(k=n) ^(2n) sin (π/k)=?

$\lim_{n \to \infty} \underset{k = n}{\sum^{2 n}} \sin \frac{π}{k} = ?$

Question Number 166697 Answers: 0 Comments: 1

Σ_(n=0) ^∞ (1/((3n)!)) =^? (1/3) [e + ((2cos((3/( 2(√3)))))/( (√e)))]

$\underset{n = 0}{\sum^{\infty}} \frac{1}{(3 n)!} \overset{?}{=} \frac{1}{3} [e + \frac{2 \cos (\frac{3}{2 \sqrt{3}})}{\sqrt{e}}]$

Question Number 166690 Answers: 1 Comments: 0

Calculate If , 𝛗= ∫_0 ^( 1) (( tanh^( −1) ( x^( 3) ))/x) dx = α.ζ( 2) then , α = ? ■ M.N −−−−−−−

$C a l c u l a t e$ $I f, ϕ = \int_{0}^{1} \frac{{t a n h}^{- 1} (x^{3})}{x} d x = α . ζ (2)$ $t h e n, α = ? ◼ M . N$ $- - - - - - -$

Question Number 166687 Answers: 1 Comments: 1

log _((2x−1)) (x+1) > log _((4−2x)) (x+1) x=?

$\log_{(2 x - 1)} (x + 1) > \log_{(4 - 2 x)} (x + 1)$ $x = ?$

Question Number 166686 Answers: 0 Comments: 1

Question Number 166685 Answers: 0 Comments: 0

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

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

Question Number 166684 Answers: 0 Comments: 0

T = ∫ ((sin (x^2 +2))/(2x+4)) dx=?

$T = \int \frac{\sin (x^{2} + 2)}{2 x + 4} dx = ?$

Question Number 166683 Answers: 0 Comments: 0

Question Number 166678 Answers: 1 Comments: 0

4+x+2x=8+2(3+x)−3 Find x

$4 + x + 2 x = 8 + 2 (3 + x) - 3$ $F i n d x$

Question Number 166676 Answers: 1 Comments: 0

Question Number 166670 Answers: 0 Comments: 3

Question Number 166695 Answers: 2 Comments: 0

Question Number 166693 Answers: 0 Comments: 0

((√7)/(8sin (π/7)sin ((2π)/7)sin ((3π)/7))) =?

$\frac{\sqrt{7}}{8 \sin \frac{π}{7} \sin \frac{2 π}{7} \sin \frac{3 π}{7}} = ?$

Question Number 166660 Answers: 1 Comments: 0

calculate Ω = Σ_(n=0) ^∞ (1/((3n)!)) = ?

$c a l c u l a t e$ $Ω = \underset{n = 0}{\sum^{\infty}} \frac{1}{(3 n)!} = ?$

Question Number 166649 Answers: 0 Comments: 1

Question Number 166648 Answers: 1 Comments: 0

u_(n+1) = (√(2+u_n )) show that u_(n+1) −u_n and u_n −u_(n−1) have same sign

$u_{n + 1} = \sqrt{2 + u_{n}}$ $s h o w t h a t u_{n + 1} - u_{n} a n d u_{n} - u_{n - 1}$ $h a v e s a m e s i g n$

Question Number 166641 Answers: 1 Comments: 1

From the standard equation of a circle, using the origin (0,0), we deduced the eqution (x−a)^2 +(y−b)^2 =r^2 to x^2 +y^2 =r^2 . In what terms do we use this formular?

$From the standard equation of a circle,$ $using the origin (0, 0), we deduced the eqution$ ${(x - a)}^{2} + {(y - b)}^{2} = r^{2} to x^{2} + y^{2} = r^{2} .$ $In what terms do we use this formular ?$

Question Number 166640 Answers: 1 Comments: 0

Question Number 166633 Answers: 1 Comments: 0

Question Number 166628 Answers: 0 Comments: 0

Question Number 166627 Answers: 2 Comments: 2

If f(x)=x+x^3 +x^5 +...+x^n and lim_(x→1) ((f^2 (x)−f^2 (1))/(x−1)) = 2^(10) then n = ?

$If f (x) = x + x^{3} + x^{5} + . . . + x^{n} and$ $\lim_{x \to 1} \frac{f^{2} (x) - f^{2} (1)}{x - 1} = 2^{10} then n = ?$

Question Number 166625 Answers: 0 Comments: 0

((18)/({x}))−((19)/x) ≤ ((20)/(x−1))

$\frac{18}{{x}} - \frac{19}{x} ⩽ \frac{20}{x - 1}$

Question Number 166653 Answers: 0 Comments: 0

Question Number 166620 Answers: 2 Comments: 0

Question Number 166619 Answers: 1 Comments: 0

(2/(log_(10) (6)))=(π^x /7) How much the x is?

$\frac{2}{\log_{10} (6)} = \frac{π^{x}}{7}$ $H o w m u c h t h e x i s ?$

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