Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of ((-4+3*x)/(2+3*x))^(2*x)
-
Limit of (3+x^2-x)/(-3+3*x+5*x^2)
-
Limit of (-1+x^2)/(-2+x+x^2)
-
Limit of (sqrt(5+x)-sqrt(10))/(-15+x^2-2*x)
- Integral of d{x}:
- a*x
- Derivative of:
- a*x
-
Identical expressions
- a*x
- a multiply by x
- ax
-
Similar expressions
- a^x
- a^x/x
- (a^x/2+b^x/2)^(1/x)
Limit of the function a*x
The solution
You have entered
[src]
lim (a*x) x->oo
$$\lim_{x \to \infty}\left(a x\right)$$
Limit(a*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(a x\right) = \infty \operatorname{sign}{\left(a \right)}$$
$$\lim_{x \to 0^-}\left(a x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(a x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(a x\right) = a$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(a x\right) = a$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(a x\right) = - \infty \operatorname{sign}{\left(a \right)}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(a x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(a x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(a x\right) = a$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(a x\right) = a$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(a x\right) = - \infty \operatorname{sign}{\left(a \right)}$$
More at x→-oo