Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 7^(1/(-3+x))
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Limit of (3-3*x^2+4*x^4+6*x^3)/(2*x^2+7*x^4)
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of (-6-x^2-3*x+4*x^3)/(3-x^2+2*x^3)
- Graphing y =:
- 2/(3*x^(1/3))
- How do you in partial fractions?:
- 2/(3*x^(1/3))
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Identical expressions
- two /(three *x^(one / three))
- 2 divide by (3 multiply by x to the power of (1 divide by 3))
- two divide by (three multiply by x to the power of (one divide by three))
- 2/(3*x(1/3))
- 2/3*x1/3
- 2/(3x^(1/3))
- 2/(3x(1/3))
- 2/3x1/3
- 2/3x^1/3
- 2 divide by (3*x^(1 divide by 3))
Limit of the function 2/(3*x^(1/3))
The solution
You have entered
[src]
/ 2 \
lim |-------|
x->0+| 3 ___|
\3*\/ x /
$$\lim_{x \to 0^+}\left(\frac{2}{3 \sqrt[3]{x}}\right)$$
Limit(2/((3*x^(1/3))), 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
$$\lim_{x \to 0^-}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2}{3 \sqrt[3]{x}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \frac{2}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \frac{2}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{2}{3 \sqrt[3]{x}}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{2}{3 \sqrt[3]{x}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \frac{2}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{2}{3 \sqrt[3]{x}}\right) = \frac{2}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{2}{3 \sqrt[3]{x}}\right) = 0$$
More at x→-oo
One‐sided limits
[src]
/ 2 \
lim |-------|
x->0+| 3 ___|
\3*\/ x /
$$\lim_{x \to 0^+}\left(\frac{2}{3 \sqrt[3]{x}}\right)$$
oo
$$\infty$$
= 14.2987178715596
/ 2 \
lim |-------|
x->0-| 3 ___|
\3*\/ x /
$$\lim_{x \to 0^-}\left(\frac{2}{3 \sqrt[3]{x}}\right)$$
2/3 -oo*(-1)
$$- \infty \left(-1\right)^{\frac{2}{3}}$$
= (1.77502467387166 - 3.0744329198341j)
= (1.77502467387166 - 3.0744329198341j)
The graph