Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-2+3*x)/(1+3*x))^(2*x)
-
Limit of (x/(1+2*x))^x
- Limit of n2*(5/2+n/2)
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Limit of (1-cos(4*x))/(1-cos(8*x))
- Integral of d{x}:
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1/(1-x^3)
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Identical expressions
- one /(one -x^ three)
- 1 divide by (1 minus x cubed )
- one divide by (one minus x to the power of three)
- 1/(1-x3)
- 1/1-x3
- 1/(1-x³)
- 1/(1-x to the power of 3)
- 1/1-x^3
- 1 divide by (1-x^3)
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Similar expressions
- 1/(1+x^3)
Limit of the function 1/(1-x^3)
The solution
You have entered
[src]
1
lim ------
x->1+ 3
1 - x
$$\lim_{x \to 1^+} \frac{1}{1 - x^{3}}$$
Limit(1/(1 - x^3), x, 1)
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
$$\lim_{x \to 1^-} \frac{1}{1 - x^{3}} = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{1 - x^{3}} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{1 - x^{3}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{1 - x^{3}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{1 - x^{3}} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{1 - x^{3}} = 0$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{1 - x^{3}} = -\infty$$
$$\lim_{x \to \infty} \frac{1}{1 - x^{3}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{1 - x^{3}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{1 - x^{3}} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{1 - x^{3}} = 0$$
More at x→-oo
One‐sided limits
[src]
1
lim ------
x->1+ 3
1 - x
$$\lim_{x \to 1^+} \frac{1}{1 - x^{3}}$$
-oo
$$-\infty$$
= -50.0014668080224
1
lim ------
x->1- 3
1 - x
$$\lim_{x \to 1^-} \frac{1}{1 - x^{3}}$$
oo
$$\infty$$
= 50.6681432208503
= 50.6681432208503
The graph