Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-5+7*n)/(2+n)
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Limit of (-64+4^x)/(-3+x)
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Limit of (-7+3*x^2+5*x)/(1+x+3*x^2)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
- Integral of d{x}:
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x^2/4
- Canonical form:
- x^2/4
- Derivative of:
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x^2/4
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Identical expressions
- x^ two / four
- x squared divide by 4
- x to the power of two divide by four
- x2/4
- x²/4
- x to the power of 2/4
- x^2 divide by 4
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Similar expressions
- (-2+3*x)^2/(4+3*x)^2
- (-1)^x*x^2/(4+x)
- ((1-x^2)/(4-x^2))^(4*x^2)
- (2-3*x+5*x^2)/(4+x^2+3*x)
Limit of the function x^2/4
The solution
You have entered
[src]
/ 2\
|x |
lim |--|
x->0+\4 /
$$\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right)$$
Limit(x^2/4, 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\
|x |
lim |--|
x->0+\4 /
$$\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right)$$
0
$$0$$
= -2.42076449987718e-32
/ 2\
|x |
lim |--|
x->0-\4 /
$$\lim_{x \to 0^-}\left(\frac{x^{2}}{4}\right)$$
0
$$0$$
= -2.42076449987718e-32
= -2.42076449987718e-32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{x^{2}}{4}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x^{2}}{4}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x^{2}}{4}\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x^{2}}{4}\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x^{2}}{4}\right) = \infty$$
More at x→-oo
The graph