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LimitsQuestion and Answers: Page 6

Question Number 200413 Answers: 1 Comments: 1

Question Number 200103 Answers: 1 Comments: 0

lim_(x→∞) sin (√(x+1))−sin (√x) =?

$\lim_{x \to \infty} \sin \sqrt{x + 1} - \sin \sqrt{x} = ?$

Question Number 200105 Answers: 1 Comments: 2

Question Number 199983 Answers: 1 Comments: 0

find lim_(x→∞) sin (((πx)/(5+3x))) by sequeeze theorem

$find \lim_{x \to \infty} \sin (\frac{π x}{5 + 3 x})$ $by sequeeze theorem$

Question Number 199908 Answers: 2 Comments: 0

lim_(x→0) (((2^x +3^x +5^x )/3))^(3/x) =?

$\lim_{x \to 0} {(\frac{2^{x} + 3^{x} + 5^{x}}{3})}^{\frac{3}{x}} = ?$

Question Number 199843 Answers: 1 Comments: 0

lim_(x→0) ((1/(ln(1+x) ))−(1/(ln(x+(√(1+x^2 )) )))) = ??

$\lim_{x \to 0} (\frac{1}{\ln (1 + x)} - \frac{1}{\ln (x + \sqrt{1 + x^{2}})}) = ? ?$

Question Number 199662 Answers: 1 Comments: 0

A point moves on the curve of the function f(x)=(√(x^2 +5)) such that it′s x−coordinate increases at a rate of 3(√(10)) cm/s. Find the rate of change of it′s distance from the point (1,0) when x = 2

$A point moves on the curve of$ $the function f (x) = \sqrt{x^{2} + 5} such$ $that {it}^{'} s x - coordinate increases$ $at a rate of 3 \sqrt{10} cm / s . Find$ $the rate of change of {it}^{'} s$ $distance from the point (1, 0)$ $when x = 2$

Question Number 199597 Answers: 2 Comments: 0

calculate... Q : lim_( x→ (π/4)) ( 1 + sin(x) −cos(x) )^( tan(2x)) = ? • Nice − Mathematics •

$calculate . . .$ $Q : \lim_{x \to \frac{π}{4}} {(1 + s i n (x) - c o s (x))}^{t a n (2 x)} = ?$ $∙ N i c e - M a t h e m a t i c s ∙$

Question Number 199553 Answers: 1 Comments: 0

lim_(x→0) ((tan ((x/2))−sin ((x/2)))/(x^2 ((√(x^2 +x−2))−(√(x^2 +2x−2)) ))) =?

$\lim_{x \to 0} \frac{\tan (\frac{x}{2}) - \sin (\frac{x}{2})}{x^{2} (\sqrt{x^{2} + x - 2} - \sqrt{x^{2} + 2 x - 2})} = ?$

Question Number 199467 Answers: 1 Comments: 0

Question Number 199393 Answers: 2 Comments: 0

Question Number 199370 Answers: 0 Comments: 0

lim_(x→0) ((4e^(3x) −9e^(2x) +6x+5)/x^3 )=?

$\lim_{x \to 0} \frac{4 e^{3 x} - 9 e^{2 x} + 6 x + 5}{x^{3}} = ?$

Question Number 199084 Answers: 1 Comments: 0

lim_(n→∞) ∫_0 ^(√n) (1−(x^2 /n))^n dx = ???

$\lim_{n \to \infty} \int_{0}^{\sqrt{n}} {(1 - \frac{x^{2}}{n})}^{n} dx = ? ? ?$

Question Number 200304 Answers: 2 Comments: 0

Question Number 199012 Answers: 0 Comments: 0

lim_(x→∞) ((log n)/n)^( n) (√(Σ_(k=1) ^∞ (k^n /(k!)))) = ????

$\lim_{x \to \infty} \frac{\log n}{n}^{n} \sqrt{\underset{k = 1}{\sum^{\infty}} \frac{k^{n}}{k!}} = ? ? ? ?$

Question Number 198952 Answers: 3 Comments: 0

lim_(x→0) ((sin 3x)/(tan 6x)) = ....?

$\lim_{x \to 0} \frac{\sin 3 x}{\tan 6 x} = . . . . ?$

Question Number 198839 Answers: 0 Comments: 1

lim sin(x) = ? x→+∞

$l i m s i n (x) = ?$ $x \to + \infty$

Question Number 198572 Answers: 1 Comments: 0

lim_(x→(π/(2n))) ((√((sin 2nx)/(1+cos nx)))/(4n^2 x^2 −π^2 )) =?

$\lim_{x \to \frac{π}{2 n}} \frac{\sqrt{\frac{\sin 2 nx}{1 + \cos nx}}}{{4 n}^{2} x^{2} - π^{2}} = ?$

Question Number 198152 Answers: 2 Comments: 0

a_(n+2) = (√(a_n ×a_(n+1) )) ∀ n≥1 , n ∈ N and here a_(1 ) = α and a_2 = β then prove that lim_(n→∞) a_(n+2) = (α×β^2 )^(1/3)

$a_{n + 2} = \sqrt{a_{n} \times a_{n + 1}} \forall n ⩾ 1, n \in N$ $and here a_{1} = α a n d a_{2} = β then$ $prove that \lim_{n \to \infty} a_{n + 2} = {(α \times β^{2})}^{1 / 3}$

Question Number 198032 Answers: 0 Comments: 1

lim_(x→∞) (1/( (√(4025x)))) ((1/( (√x))) +(1/( (√(x+1)))) +(1/( (√(x+2)) )) +... +(1/( (√(4025x)))) )=?

$\lim_{x \to \infty} \frac{1}{\sqrt{4025 x}} (\frac{1}{\sqrt{x}} + \frac{1}{\sqrt{x + 1}} + \frac{1}{\sqrt{x + 2}} + . . . + \frac{1}{\sqrt{4025 x}}) = ?$

Question Number 197998 Answers: 3 Comments: 0

lim_(x→0) ((x−ln(x+(√(1+x^2 ))))/x^3 )=? with out L′Hospital rul

$\lim_{x \to 0} \frac{x - l n (x + \sqrt{1 + x^{2}})}{x^{3}} = ?$ $w i t h o u t L^{'} H o s p i t a l r u l$

Question Number 197947 Answers: 1 Comments: 0

calculate… L = lim _(n→∞) (( (1+(1/2) )(1+(1/3))… (1+(1/n))))^(1/n) = ?

$calculate \dots$ $L = \lim_{n \to \infty} \sqrt[n]{(1 + \frac{1}{2}) (1 + \frac{1}{3}) \dots (1 + \frac{1}{n})} = ?$

Question Number 197891 Answers: 2 Comments: 0

Soit I=∫^( 1) _( 0) (√(t(√(t(1−t)))))dt Comment calculer I

$Soit I = {\int_{0}}^{1} \sqrt{t \sqrt{t (1 - t)}} dt$ $Comment calculer I$

Question Number 197832 Answers: 1 Comments: 0

lim_(x→∞) ((2+(√(cosx)))/(−1+(√(cosx))))=?

$\lim_{x \to \infty} \frac{2 + \sqrt{c o s x}}{- 1 + \sqrt{c o s x}} = ?$

Question Number 197766 Answers: 1 Comments: 1

∫_0 ^(π/2) (lim_(n→∞) nsin^(2n+1) x cos x)dx = ?

$\int_{0}^{π / 2} (\lim_{n \to \infty} n \sin^{2 n + 1} x \cos x) d x = ?$

Question Number 197660 Answers: 1 Comments: 0

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