Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
- Limit of (-1+a^x)/(-1+c^x)
-
Limit of atan(2*x)/(3*x)
-
Limit of atan(2*x)/(2*sin(x))
-
Limit of asin(x)/(-3+x)
-
Identical expressions
- asin(x)/(- three +x)
- arc sinus of e of (x) divide by ( minus 3 plus x)
- arc sinus of e of (x) divide by ( minus three plus x)
- asinx/-3+x
- asin(x) divide by (-3+x)
-
Similar expressions
- asin(x)/(3+x)
- asin(x)/(-3-x)
- arcsin(x)/(-3+x)
- arcsinx/(-3+x)
Limit of the function asin(x)/(-3+x)
The solution
You have entered
[src]
/asin(x)\ lim |-------| x->0+\ -3 + x/
$$\lim_{x \to 0^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
Limit(asin(x)/(-3 + x), x, 0)
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
One‐sided limits
[src]
/asin(x)\ lim |-------| x->0+\ -3 + x/
$$\lim_{x \to 0^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
0
$$0$$
= -3.45504642918386e-31
/asin(x)\ lim |-------| x->0-\ -3 + x/
$$\lim_{x \to 0^-}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
0
$$0$$
= 9.32438704772273e-31
= 9.32438704772273e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = - \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = - \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = - \frac{\pi}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right) = - \frac{\pi}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\operatorname{asin}{\left(x \right)}}{x - 3}\right)$$
More at x→-oo
The graph