Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
-
Limit of (3+x^2-4*x)/(-9+x^2)
-
Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- How do you in partial fractions?:
- -1/(3*x^3)
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Identical expressions
- - one /(three *x^ three)
- minus 1 divide by (3 multiply by x cubed )
- minus one divide by (three multiply by x to the power of three)
- -1/(3*x3)
- -1/3*x3
- -1/(3*x³)
- -1/(3*x to the power of 3)
- -1/(3x^3)
- -1/(3x3)
- -1/3x3
- -1/3x^3
- -1 divide by (3*x^3)
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Similar expressions
- 1/(3*x^3)
Limit of the function -1/(3*x^3)
The solution
You have entered
[src]
/-1 \
lim |----|
x->0+| 3|
\3*x /
$$\lim_{x \to 0^+}\left(- \frac{1}{3 x^{3}}\right)$$
Limit(-1/(3*x^3), 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(- \frac{1}{3 x^{3}}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{3 x^{3}}\right) = -\infty$$
$$\lim_{x \to \infty}\left(- \frac{1}{3 x^{3}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(- \frac{1}{3 x^{3}}\right) = - \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{3 x^{3}}\right) = - \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{3 x^{3}}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- \frac{1}{3 x^{3}}\right) = -\infty$$
$$\lim_{x \to \infty}\left(- \frac{1}{3 x^{3}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(- \frac{1}{3 x^{3}}\right) = - \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- \frac{1}{3 x^{3}}\right) = - \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- \frac{1}{3 x^{3}}\right) = 0$$
More at x→-oo
One‐sided limits
[src]
/-1 \
lim |----|
x->0+| 3|
\3*x /
$$\lim_{x \to 0^+}\left(- \frac{1}{3 x^{3}}\right)$$
-oo
$$-\infty$$
= -1147650.33333333
/-1 \
lim |----|
x->0-| 3|
\3*x /
$$\lim_{x \to 0^-}\left(- \frac{1}{3 x^{3}}\right)$$
oo
$$\infty$$
= 1147650.33333333
= 1147650.33333333
The graph