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LimitsQuestion and Answers: Page 5

Question Number 204900 Answers: 0 Comments: 2

lim_(n→∞) n!(e−x_n ) = ? where x_(n ) = 1+(1/(1!))+(1/(2!))+...+(1/(n!))

$\lim_{n \to \infty} n! (e - x_{n}) = ?$ $where x_{n} = 1 + \frac{1}{1!} + \frac{1}{2!} + . . . + \frac{1}{n!}$

Question Number 204879 Answers: 2 Comments: 2

lim_(n→∞) n!(e−x_n ) = ? where x_(n ) = 1+(1/(1!))+(1/(2!))+...+(1/(n!))

$\lim_{n \to \infty} n! (e - x_{n}) = ?$ $where x_{n} = 1 + \frac{1}{1!} + \frac{1}{2!} + . . . + \frac{1}{n!}$

Question Number 204574 Answers: 2 Comments: 0

lim_(n→∞) n^(−3/2) [(n+1)^((n+1)) (n+2)^((n+2)) ...(2n)^(2n) ]^(1/n^2 ) = ?

$\lim_{n \to \infty} n^{- 3 / 2} {[{(n + 1)}^{(n + 1)} {(n + 2)}^{(n + 2)} . . . {(2 n)}^{2 n}]}^{1 / n^{2}} = ?$

Question Number 204558 Answers: 0 Comments: 0

lim_(n→∞) n^(−3/2) [(n+1)^((n+1)) (n+2)^((n+2)) ...(2n)^(2n) ]^(1/n^2 ) = ?

$\lim_{n \to \infty} n^{- 3 / 2} {[{(n + 1)}^{(n + 1)} {(n + 2)}^{(n + 2)} . . . {(2 n)}^{2 n}]}^{1 / n^{2}} = ?$

Question Number 204477 Answers: 1 Comments: 0

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

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

Question Number 204396 Answers: 1 Comments: 0

Question Number 204395 Answers: 1 Comments: 0

Question Number 203980 Answers: 3 Comments: 0

lim_(x→2) ((ax^2 +bx+6)/(x^2 −x−2))=10 ; find a=? ∧ b=?

$\lim_{x \to 2} \frac{{a x}^{2} + b x + 6}{x^{2} - x - 2} = 10; f i n d a = ? \land b = ?$

Question Number 203508 Answers: 1 Comments: 0

Evaluate the given limit: lim_(n→∞) (((8)^(1/n) −1)/( ((16))^(1/n) −1))

$E v a l u a t e t h e g i v e n l i m i t :$ $\underset{n \to \infty}{l i m} \frac{\sqrt[n]{8} - 1}{\sqrt[n]{16} - 1}$

Question Number 203330 Answers: 2 Comments: 0

Question Number 203247 Answers: 2 Comments: 0

lim_(x→0) x tan(π/2)(1+x)=?

$\lim_{x \to 0} x t a n \frac{π}{2} (1 + x) = ?$

Question Number 203180 Answers: 1 Comments: 0

Question Number 203059 Answers: 0 Comments: 1

Question Number 202530 Answers: 1 Comments: 0

Question Number 203668 Answers: 1 Comments: 0

Question Number 202249 Answers: 0 Comments: 0

C = lim_(x→0) ((x ((cos x))^(1/3) − sin x)/x^5 ) =?

$C = \lim_{x \to 0} \frac{x \sqrt[3]{\cos x} - \sin x}{x^{5}} = ?$

Question Number 202161 Answers: 2 Comments: 0

Question Number 202160 Answers: 1 Comments: 0

Question Number 201877 Answers: 0 Comments: 0

Question Number 201724 Answers: 0 Comments: 0

lim_(x→0) ((e^x (x−2)+x+2)/x^3 ) solve it by not using taylor series or l′hopital rule.

$\lim_{x \to 0} \frac{e^{x} (x - 2) + x + 2}{x^{3}} s o l v e i t b y n o t u s i n g$ $t a y l o r s e r i e s o r l^{'} h o p i t a l r u l e .$

Question Number 201680 Answers: 1 Comments: 0

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Question Number 201657 Answers: 1 Comments: 0

if f(x)= { ((((sin (1+[x]))/([x])) for [x]≠0)),((0 for [x]=0)) :} where [x] represents an integer x greatest ≤ x Find lim_(x→0^− ) f(x).

$i f f (x) = {\begin{cases} \frac{\sin (1 + [x])}{[x]} f o r [x] \neq 0 \\ 0 f o r [x] = 0 \end{cases}$ $w h e r e [x] r e p r e s e n t s a n i n t e g e r x g r e a t e s t ⩽ x$ $F i n d \lim_{x \to 0^{-}} f (x) .$

Question Number 201221 Answers: 2 Comments: 0

Question Number 201108 Answers: 0 Comments: 6

Question Number 200884 Answers: 0 Comments: 0

Question Number 200821 Answers: 1 Comments: 0

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