Mister Exam
Autres calculateurs:
-
Comment utiliser ?
- Limite d'une fonction:
-
Limite 2^(-n)*2^(1+n)
- Limite tan(k*x)/x
-
Limite (-x+tan(x))/(x+2*sin(x))
-
Limite asin(5*x)/tan(3*x)
- Intégrale double de:
- x/y
- Intégrale d{x}:
- x/y
- x/y
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Expressions identiques
- x/y
- x diviser par y
- x divisé par y
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Expressions similaires
- (x+y)*sec(x+y)-x*sec(x)/y
Limite d'une fonction x/y
Solution
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/x\ lim |-| x->oo\y/
$$\lim_{x \to \infty}\left(\frac{x}{y}\right)$$
Limit(x/y, x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x}{y}\right) = \infty \operatorname{sign}{\left(\frac{1}{y} \right)}$$
$$\lim_{x \to 0^-}\left(\frac{x}{y}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{y}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{y}\right) = \frac{1}{y}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{y}\right) = \frac{1}{y}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{y}\right) = - \infty \operatorname{sign}{\left(\frac{1}{y} \right)}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{x}{y}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{y}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{y}\right) = \frac{1}{y}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{y}\right) = \frac{1}{y}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{y}\right) = - \infty \operatorname{sign}{\left(\frac{1}{y} \right)}$$
More at x→-oo