Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1+5*x+9*x^2)/(-2-7*x+2*x^3+4*x^2)
-
Limit of (-2*n^2+4*n+7*n^3)/(5+2*n^3)
-
Limit of (-9+x+6*x^2)/(7+5*x+8*x^2)
-
Limit of 2+((5-x)/(6-x))^x
- Integral of d{x}:
-
sqrt(4-x^2)/x
- Graphing y =:
- sqrt(4-x^2)/x
- Derivative of:
-
sqrt(4-x^2)/x
-
Identical expressions
- sqrt(four -x^ two)/x
- square root of (4 minus x squared ) divide by x
- square root of (four minus x to the power of two) divide by x
- √(4-x^2)/x
- sqrt(4-x2)/x
- sqrt4-x2/x
- sqrt(4-x²)/x
- sqrt(4-x to the power of 2)/x
- sqrt4-x^2/x
- sqrt(4-x^2) divide by x
-
Similar expressions
- sqrt(4+x^2)/x
Limit of the function sqrt(4-x^2)/x
The solution
You have entered
[src]
/ ________\
| / 2 |
|\/ 4 - x |
lim |-----------|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right)$$
Limit(sqrt(4 - x^2)/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]
/ ________\
| / 2 |
|\/ 4 - x |
lim |-----------|
x->0+\ x /
$$\lim_{x \to 0^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right)$$
oo
$$\infty$$
= 301.998344366323
/ ________\
| / 2 |
|\/ 4 - x |
lim |-----------|
x->0-\ x /
$$\lim_{x \to 0^-}\left(\frac{\sqrt{4 - x^{2}}}{x}\right)$$
-oo
$$-\infty$$
= -301.998344366323
= -301.998344366323
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = i$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = - i$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = i$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{4 - x^{2}}}{x}\right) = - i$$
More at x→-oo
The graph