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LimitsQuestion and Answers: Page 7

Question Number 197610 Answers: 0 Comments: 0

Question Number 197570 Answers: 0 Comments: 0

Question Number 197562 Answers: 0 Comments: 0

let f_n (x) = nsin^(2n+1) x cos x then the value of lim_(n→∞) ∫_0 ^(π/2) f_n (x) dx − ∫_0 ^(π/2) ( lim_(n→∞) f_n (x))dx = ?

$let f_{n} (x) = {nsin}^{2 n + 1} x \cos x then the value of$ $\lim_{n \to \infty} \int_{0}^{π / 2} f_{n} (x) dx - \int_{0}^{π / 2} (\lim_{n \to \infty} f_{n} (x)) dx = ?$

Question Number 197548 Answers: 1 Comments: 0

lim_(x→−∞) (((4x−(√(4x^2 +5)))/(2x−1)))^(bx) =?

$\lim_{x \to - \infty} {(\frac{4 x - \sqrt{{4 x}^{2} + 5}}{2 x - 1})}^{bx} = ?$

Question Number 197514 Answers: 1 Comments: 0

lim_(x→∞) sin x sin^(−1) ((1/x))=?

$\lim_{x \to \infty} \sin x \sin^{- 1} (\frac{1}{x}) = ?$

Question Number 197483 Answers: 1 Comments: 0

lim_(x→−∞) ((tan^(−1) (x))/( (√(1−x)))) =?

$\lim_{x \to - \infty} \frac{\tan^{- 1} (x)}{\sqrt{1 - x}} = ?$

Question Number 197482 Answers: 1 Comments: 0

lim_(x→∞) sin^(−1) (((x^2 (√3) +2)/(2x^2 −3x+1)) )=?

$\lim_{x \to \infty} \sin^{- 1} (\frac{x^{2} \sqrt{3} + 2}{{2 x}^{2} - 3 x + 1}) = ?$

Question Number 197479 Answers: 2 Comments: 1

find: lim_(n→∞) U_n =((n^3 +2n^2 ))^(1/3) −((n^3 −3n^2 ))^(1/3)

$f i n d :$ $l i \underset{n \to \infty}{m} U_{n} = \sqrt[3]{n^{3} + 2 n^{2}} - \sqrt[3]{n^{3} - 3 n^{2}}$

Question Number 197469 Answers: 0 Comments: 0

solve limits for functions f(x)=cos(sgn(1/x)) f(x)=sgn(cos(1/x))

$s o l v e l i m i t s f o r f u n c t i o n s$ $f (x) = c o s (s g n (1 / x))$ $f (x) = s g n (c o s (1 / x))$

Question Number 197407 Answers: 2 Comments: 0

lim_(x→∞) ((√(x^2 +1))/(x+1))=?

$\lim_{x \to \infty} \frac{\sqrt{x^{2} + 1}}{x + 1} = ?$

Question Number 197301 Answers: 1 Comments: 0

how do i calculate this lim_(x→-∞) ((x^4 +2x^2 +x−2)/(x^3 +2x^2 +x−1)) multiplying both numerator and denumerator by (1/x^4 ) lim_(x→-∞) ((1+(2/x^2 )+(1/x^3 )−(2/x^4 ))/((1/x)+(2/x^2 )+(1/x^3 )−(1/x^4 ))) ((1+0+0−0)/(0+0+0−0)) ∞ which is not true the answer is -∞, i tried multiplying (1/x^3 ) and got -∞ but still confused what did i do wrong using (1/x^4 )

$h o w d o i c a l c u l a t e t h i s$ $\lim_{x \to - \infty} \frac{x^{4} + 2 x^{2} + x - 2}{x^{3} + 2 x^{2} + x - 1}$ $m u l t i p l y i n g b o t h n u m e r a t o r$ $a n d d e n u m e r a t o r b y \frac{1}{x^{4}}$ $\lim_{x \to - \infty} \frac{1 + \frac{2}{x^{2}} + \frac{1}{x^{3}} - \frac{2}{x^{4}}}{\frac{1}{x} + \frac{2}{x^{2}} + \frac{1}{x^{3}} - \frac{1}{x^{4}}}$ $\frac{1 + 0 + 0 - 0}{0 + 0 + 0 - 0}$ $\infty$ $w h i c h i s n o t t r u e t h e a n s w e r i s - \infty,$ $i t r i e d m u l t i p l y i n g \frac{1}{x^{3}} a n d g o t - \infty$ $b u t s t i l l c o n f u s e d w h a t d i d i d o w r o n g$ $u s i n g \frac{1}{x^{4}}$

Question Number 197282 Answers: 1 Comments: 0

lim_(x→0) ((sin^2 x−sin x^2 )/(x^2 (cos^2 x−cos x^2 ))) =?

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

Question Number 197281 Answers: 2 Comments: 0

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

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

Question Number 197110 Answers: 1 Comments: 0

Question Number 197054 Answers: 1 Comments: 0

lim_(x→(π/4)) ((sin^9 x−(1/2) cos^7 x)/(4x−π)) =?

$\lim_{x \to \frac{π}{4}} \frac{\sin^{9} x - \frac{1}{2} \cos^{7} x}{4 x - π} = ?$

Question Number 197029 Answers: 1 Comments: 0

lim_(x→0) ((x^8 −sin^8 x)/x^(10) ) =?

$\lim_{x \to 0} \frac{x^{8} - \sin^{8} x}{x^{10}} = ?$

Question Number 197008 Answers: 1 Comments: 0

Question Number 196959 Answers: 2 Comments: 0

$\underset{―}{}$

Question Number 196806 Answers: 2 Comments: 0

$\underset{―}{\underset{⏟}{}}$

Question Number 196534 Answers: 2 Comments: 0

lim_(x→∞) x (√(1−cos ((π/x)))) =?

$\lim_{x \to \infty} x \sqrt{1 - \cos (\frac{π}{x})} = ?$

Question Number 196491 Answers: 1 Comments: 2

Question Number 196471 Answers: 1 Comments: 0

lim_(n→∞) (1/n)((1/(2 + (1/n))) + (1/(2 + (2/n))) + (1/(2 + (3/n))) + .. + (1/(2 + (n/n))))

$\lim_{n \to \infty} \frac{1}{n} (\frac{1}{2 + \frac{1}{n}} + \frac{1}{2 + \frac{2}{n}} + \frac{1}{2 + \frac{3}{n}} + . . + \frac{1}{2 + \frac{n}{n}})$

Question Number 196399 Answers: 1 Comments: 0

a/ lim_((x,y)→(0,2)) (1+xy)^(2/(x^2 +xy)) b/ lim_((x,y)→(0,0)) (x^2 +y^2 )sin((1/(xy))) c/lim_((x,y)→(∞,∞)) (x^2 +y^2 )e^(−(x+y))

$a / \lim_{(x, y) \to (0, 2)} {(1 + x y)}^{\frac{2}{x^{2} + x y}}$ $b / \lim_{(x, y) \to (0, 0)} (x^{2} + y^{2}) s i n (\frac{1}{x y})$ $c / \lim_{(x, y) \to (\infty, \infty)} (x^{2} + y^{2}) e^{- (x + y)}$

Question Number 196396 Answers: 0 Comments: 1

lim_(n→∞) [(−1)^n ∙n]=?

$\lim_{n \to \infty} [{(- 1)}^{n} \cdot n] = ?$

Question Number 196337 Answers: 1 Comments: 0

Question Number 196135 Answers: 0 Comments: 0

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