Mister Exam
Autres calculateurs:
-
Comment utiliser ?
- Limite d'une fonction:
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Limite log(-1+x)/cot(pi*x)
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Limite sqrt(x)
- Limite x^n
- Limite (x^5-a^5)/(x^3-a^3)
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Expressions identiques
- log(- one +x)/cot(pi*x)
- logarithme de ( moins 1 plus x) diviser par cotangente de ( nombre pi multiplier par x)
- logarithme de ( moins one plus x) diviser par cotangente de ( nombre pi multiplier par x)
- log(-1+x)/cot(pix)
- log-1+x/cotpix
- log(-1+x) divisé par cot(pi*x)
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Expressions similaires
- log(-1-x)/cot(pi*x)
- log(1+x)/cot(pi*x)
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Que vouliez-vous dire ?
- log(-1 + x)/cot(pi*x)
- log(-1 + x)/((cot(pi)*x))
- log(-1 + x)*pi*x/cot(x)
- log(-1 - x)/cot(pi*x)
- log(-1 - x)/((cot(pi)*x))
- log(-1 - x)*pi*x/cot(x)
- log(-1 + x)*pi*x/cot(x)
Vous avez saisi:
log(-1+x)/cot(pi*x)
Que vouliez-vous dire ?
Limite d'une fonction log(-1+x)/cot(pi*x)
Solution
You have entered
[src]
/log(-1 + x)\ lim |-----------| x->oo\ cot(pi*x) /
$$\lim_{x \to \infty}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right)$$
Limit(log(-1 + x)/cot(pi*x), 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
The graph
Rapid solution
[src]
/log(-1 + x)\ lim |-----------| x->oo\ cot(pi*x) /
$$\lim_{x \to \infty}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right)$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\log{\left(x - 1 \right)}}{\cot{\left(\pi x \right)}}\right)$$
More at x→-oo
Graphique