Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
-
Limit of -pi+(1+cos(x))/x
-
Limit of (1-5*x)^(1/x)
-
Limit of (1+2/n)^(4*n)
- Derivative of:
-
asin(5*x)
-
Identical expressions
- asin(five *x)
- arc sinus of e of (5 multiply by x)
- arc sinus of e of (five multiply by x)
- asin(5x)
- asin5x
-
Similar expressions
- arcsin(5*x)
Limit of the function asin(5*x)
The solution
You have entered
[src]
lim asin(5*x) x->oo
$$\lim_{x \to \infty} \operatorname{asin}{\left(5 x \right)}$$
Limit(asin(5*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \operatorname{asin}{\left(5 x \right)} = - \infty i$$
$$\lim_{x \to 0^-} \operatorname{asin}{\left(5 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{asin}{\left(5 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{asin}{\left(5 x \right)} = \operatorname{asin}{\left(5 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{asin}{\left(5 x \right)} = \operatorname{asin}{\left(5 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{asin}{\left(5 x \right)} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \operatorname{asin}{\left(5 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{asin}{\left(5 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \operatorname{asin}{\left(5 x \right)} = \operatorname{asin}{\left(5 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{asin}{\left(5 x \right)} = \operatorname{asin}{\left(5 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{asin}{\left(5 x \right)} = \infty i$$
More at x→-oo
The graph