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Question Number 155331 Answers: 1 Comments: 0

what is limit? also where we use it.

$what is limit ? also where we use it .$

Question Number 155323 Answers: 0 Comments: 0

Question Number 155316 Answers: 4 Comments: 0

lim_(x→∞) ((√(x^2 +3x))−x)=?

$\lim_{x \to \infty} (\sqrt{x^{2} + 3 x} - x) = ?$

Question Number 155403 Answers: 0 Comments: 0

Question Number 155337 Answers: 0 Comments: 0

Question Number 155310 Answers: 1 Comments: 0

lim U_n =Σ_(k=o) ^(n−1) ((n(ln(n+k))−ln(n))/(n^2 +k^2 ))

$\lim U_{n} = \underset{k = o}{\sum^{n - 1}} \frac{n (l n (n + k)) - l n (n)}{n^{2} + k^{2}}$

Question Number 155302 Answers: 0 Comments: 0

Question Number 155295 Answers: 0 Comments: 2

Evaluate: lim_(n→∞) ((Σ n)/n^2 ) = ?

$Evaluate : \lim_{n \to \infty} \frac{Σ n}{n^{2}} = ?$

Question Number 155294 Answers: 1 Comments: 0

Question Number 155293 Answers: 2 Comments: 0

Question Number 155292 Answers: 1 Comments: 0

Question Number 155285 Answers: 0 Comments: 0

Question Number 155281 Answers: 1 Comments: 0

f :[ 0 , 6] → [−4 , 4] f (0 )=0 f (6 )=4 x, y≥0 , x+y ≤6 f (x+y )=(1/4){f(x)(√(16−(f(y))^2 )) +f(y)(√(16−(f(x))^2 )) } ∴ ( f(1) +f (3))^( 2) =?

$f : [0, 6] \to [- 4, 4]$ $f (0) = 0$ $f (6) = 4$ $x, y ⩾ 0, x + y ⩽ 6$ $f (x + y) = \frac{1}{4} {f (x) \sqrt{16 - {(f (y))}^{2}} + f (y) \sqrt{16 - {(f (x))}^{2}}}$ $∴ {(f (1) + f (3))}^{2} = ?$

Question Number 155277 Answers: 2 Comments: 0

Question Number 155272 Answers: 0 Comments: 3

Question Number 155265 Answers: 1 Comments: 0

si E est la fonction partie entiere ,et n un entier naturel alors I=∫_o ^n E(x) vaut?

$s i E e s t l a f o n c t i o n p a r t i e e n t i e r e, e t n u n e n t i e r n a t u r e l$ $a l o r s I = \int_{o}^{n} E (x) v a u t ?$

Question Number 155252 Answers: 1 Comments: 0

∫_0 ^( (π/2)) x.sin^( 2) (x).ln(sin(x))dx

$\int_{0}^{\frac{π}{2}} x . {s i n}^{2} (x) . l n (s i n (x)) d x$

Question Number 155244 Answers: 2 Comments: 0

Solve the equation: (sinx)^3 + sinx = cosx

$Solve the equation :$ ${(\sin x)}^{3} + \sin x = \cos x$

Question Number 155243 Answers: 0 Comments: 2

the value of the integral ∫_(−1) ^( 1) x^2 p_2 (x) dx is ?

$t h e v a l u e o f t h e i n t e g r a l \int_{- 1}^{1} x^{2} p_{2} (x) d x i s ?$

Question Number 155242 Answers: 1 Comments: 1

the value of 𝛃 (2, n ) is ?

$t h e v a l u e o f β (2, n) i s ?$

Question Number 155238 Answers: 0 Comments: 0

Question Number 155236 Answers: 0 Comments: 0

Question Number 155237 Answers: 1 Comments: 0

If Ω = ∫_0 ^( ∞) (( ln^( 2) (x ).sin((√(x )) ))/x) dx prove that : Ω = 4 γ^( 2) + (π^( 3) /3) ■ m.n

$I f Ω = \int_{0}^{\infty} \frac{{l n}^{2} (x) . s i n (\sqrt{x})}{x} d x$ $p r o v e t h a t :$ $Ω = 4 γ^{2} + \frac{π^{3}}{3} ◼ m . n$

Question Number 155231 Answers: 0 Comments: 0

f (x) :=(√((1/a) +x)) −(√((1/a) −x)) and D_f ≠ ∅ , g(x)=(√((ax−1)/(f^( −1) ( ax −a )))) find : D_( g) =?

$f (x) := \sqrt{\frac{1}{a} + x} - \sqrt{\frac{1}{a} - x}$ $a n d D_{f} \neq \emptyset,$ $g (x) = \sqrt{\frac{a x - 1}{f^{- 1} (a x - a)}}$ $f i n d : D_{g} = ?$

Question Number 155225 Answers: 0 Comments: 3

Question Number 155217 Answers: 0 Comments: 0

∫_(−∞) ^( ∞) ((ln((√(x^4 +1))))/( (√(x^4 +1)))) dx

$\int_{- \infty}^{\infty} \frac{\ln (\sqrt{x^{4} + 1})}{\sqrt{x^{4} + 1}} d x$

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