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Límite de la función
:
Límite de 1/(1-x)-3/(1-x^3)
Límite de sin(3*x)/(2*x)
Límite de (1-2*x)^(1/x)
Límite de (6+x^2-5*x)/(-9+x^2)
Expresiones idénticas
cinco + dos *x
5 más 2 multiplicar por x
cinco más dos multiplicar por x
5+2x
Expresiones semejantes
5-2*x
((5+2*x)/(1+2*x))^(5*x)
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((-3+2*x)/(5+2*x))^(-1+x)
((1+2*x)/(5+2*x))^(7*x)
x^3/(-5+2*x)-x^3/(1+2*x)
(1+x^2+9*x)/(-5+2*x+7*x^2)
(-5+2*x)/x
-5+2*x
((5+2*x)/(-1+2*x))^(3-x)
((3+x)/(-5+2*x))^(6*x)
(-5+2*x)^(2*x/(-3+x))
(-5+2*x)/(12+x^2-7*x)
((3+2*x)/(5+2*x))^(1-3*x)
5+2*x+3*x^2
-7/5+2*x
(5+2*x)^(3/(2+x))
(-9+x^2-8*x)/(5+2*x^2+3*x)
((7+2*x)/(5+2*x))^(-5*x)
(-5+2*x)/(1+3*x)
((-5+2*x)/(1+2*x))^(-1+x)
((-3+2*x)/(5+2*x))^(2+3*x)
(-5+2*x^2+3*x)/(-1+x^2)
x*(1+x)*(2+x)/(5+2*x^3)
(-9-8*x)/(5+2*x^2+3*x)
(7-3*x^4)/(-5+2*x^3+3*x^2)
((1+3*x)/(-5+2*x))^x
(6-x^5+2*x)/(8-x^3+2*x)
((5+2*x)/(2*x))^x
((5+2*x)/(-1+2*x))^(3*x)
((5+2*x)/(2*x))^(3*x)
-1+((-3+2*x)/(5+2*x))^x
((5+x)/(-5+2*x))^(-10+3*x)
((3+x)/(2+x))^(5+2*x)
(1+3*x)/(-5+2*x)
((1+3*x)/(-1+3*x))^(5+2*x)
(-5+2*x)^2
(-5+2*x)/(4-2*x)
((5+2*x)/(3+2*x))^(1+x)
((5+2*x)/(1+2*x))^(3*x)
((4+2*x)/(5+2*x))^x
((4+2*x)/(5+2*x))^(4*x)
(-5+2*x^3+4*x)/(2-x-x^3)
((-3+2*x)/(5+2*x))^(1+2*x)
-5+2*x^2
(-1+x)*(-5+2*x^2)
((1+2*x)/(5+2*x))^(-x)
((-1+2*x)/(5+2*x))^(-2*x)
-3+x^2-x^5+2*x+4*x^4/3
(-4+x^2)/(-3+sqrt(5+2*x))
(1+x^2)/(5+2*x^2)
(-3+sqrt(5+2*x))/(2-x)
((-2+9*x)/(1+9*x))^(5+2*x)
(5+2*x)^(1/(2+x))
(-3+4*x)/(5+2*x)
((-3+4*x)/(5+2*x))^(1-x)
-15+2*x+3*x^2
((5+2*x)/(3+x))^(6*x)
(-5+2*x)^(5/(3-x))
((5+2*x)/(4+2*x))^x
(5+2*x)/(3+2*x)
((4+2*x)/(5+2*x))^(8*x)
2^(-x)*(x^5+2*x)
-7/5+2*x^3
(3+x)/(-5+2*x)
(5+2*x)^(1/x)
(8+3*x+4*x^2)/(5+2*x^2)
(-3+2*x)/(5+2*x)
(x/sqrt(5+2*x))^(1/x)
e^(-4-2*x)*(5+2*x)
(4+3*x)^(-x)*(-5+2*x)
5*x^2/(-15+2*x^2)
((3+4*x)/(1+4*x))^(-5+2*x)
((5+2*x)/(7+2*x))^(-5*x)
-5+2*x+x^2/4
(5+2*x)/x^2
sqrt(5+2*x)-x^2-3*x/8
-5+2*x^(1/3)
(1-x+2*x^2)/(-5+2*x+3*x^3)
(3+x^3)/(5+2*x+4*x^2)
x*(1+x)*(2+x)/(5+2*x^2)
2*(5+2*x)/(x+x^2)
log(-5+2*x)/(3-7*x+2*x^2)
(5+2*x^2)^2
((-5+2*x)/(3+2*x))^(4+x)
3+(9+2*x)^(-x)*(5+2*x)
x*log((5+2*x)/(4+2*x))
5+2*x+3*x2
2*x*(3+2*x)/(-5+2*x)
(5+2*x)/sin(pi*x)
(5+2*x)/sqrt(3-6*x+16*x^2)
(5+2*x^3)/(4+x^2+7*x^3)
(-5+2*x)/(2+4*x)
(5+2*x+3*x^2)/factorial(x)
x*(1/5+2*x/5)
((-5+2*x)/(-1+2*x))^(1+x)
(-4+2*x)/(-5+2*x)
((5+2*x)/(8+3*x))^x
(2+sqrt(x))/sqrt(-5+2*x)
((4+x)/(1+x))^(5+2*x)
Límite de la función
/
5+2*x
Límite de la función 5+2*x
cuando
→
¡Calcular el límite!
v
Para puntos concretos:
---------
A la izquierda (x0-)
A la derecha (x0+)
Gráfico:
interior
superior
Definida a trozos:
{
introducir la función definida a trozos aquí
Solución
Ha introducido
[src]
lim (5 + 2*x) x->3+
$$\lim_{x \to 3^+}\left(2 x + 5\right)$$
Limit(5 + 2*x, x, 3)
Solución detallada
Tomamos como el límite
$$\lim_{x \to \infty}\left(2 x + 5\right)$$
Dividimos el numerador y el denominador por x:
$$\lim_{x \to \infty}\left(2 x + 5\right)$$ =
$$\lim_{x \to \infty}\left(\frac{2 + \frac{5}{x}}{\frac{1}{x}}\right)$$
Hacemos El Cambio
$$u = \frac{1}{x}$$
entonces
$$\lim_{x \to \infty}\left(\frac{2 + \frac{5}{x}}{\frac{1}{x}}\right) = \lim_{u \to 0^+}\left(\frac{5 u + 2}{u}\right)$$
=
$$\frac{0 \cdot 5 + 2}{0} = \infty$$
Entonces la respuesta definitiva es:
$$\lim_{x \to \infty}\left(2 x + 5\right) = \infty$$
Método de l'Hopital
En el caso de esta función, no tiene sentido aplicar el Método de l'Hopital, ya que no existe la indeterminación tipo 0/0 or oo/oo
Gráfica
Trazar el gráfico
Respuesta rápida
[src]
11
$$11$$
Abrir y simplificar
Otros límites con x→0, -oo, +oo, 1
$$\lim_{x \to 3^-}\left(2 x + 5\right) = 11$$
Más detalles con x→3 a la izquierda
$$\lim_{x \to 3^+}\left(2 x + 5\right) = 11$$
$$\lim_{x \to \infty}\left(2 x + 5\right) = \infty$$
Más detalles con x→oo
$$\lim_{x \to 0^-}\left(2 x + 5\right) = 5$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(2 x + 5\right) = 5$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(2 x + 5\right) = 7$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(2 x + 5\right) = 7$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(2 x + 5\right) = -\infty$$
Más detalles con x→-oo
A la izquierda y a la derecha
[src]
lim (5 + 2*x) x->3+
$$\lim_{x \to 3^+}\left(2 x + 5\right)$$
11
$$11$$
= 11.0
lim (5 + 2*x) x->3-
$$\lim_{x \to 3^-}\left(2 x + 5\right)$$
11
$$11$$
= 11.0
= 11.0
Respuesta numérica
[src]
11.0
11.0
Gráfico