Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 2^(-n)*2^(1+n)
- Limit of tan(k*x)/x
-
Limit of (-x+tan(x))/(x+2*sin(x))
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Limit of asin(5*x)/tan(3*x)
- Factor polynomial:
- x^3-x
- Integral of d{x}:
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x^3-x
- Derivative of:
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x^3-x
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Identical expressions
- x^ three -x
- x cubed minus x
- x to the power of three minus x
- x3-x
- x³-x
- x to the power of 3-x
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Similar expressions
- (-1+x+x^3-x^2)/(-2+x+x^3)
- (1+x^2-12*x)/(x+x^3-x^2)
- x/(x^3-x)
- x^3+x
Limit of the function x^3-x
The solution
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[src]
/ 3 \ lim \x - x/ x->1+
$$\lim_{x \to 1^+}\left(x^{3} - x\right)$$
Limit(x^3 - x, 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
$$\lim_{x \to 1^-}\left(x^{3} - x\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} - x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x^{3} - x\right) = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} - x\right) = 0$$
$$\lim_{x \to \infty}\left(x^{3} - x\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{3} - x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} - x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(x^{3} - x\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 3 \ lim \x - x/ x->1+
$$\lim_{x \to 1^+}\left(x^{3} - x\right)$$
0
$$0$$
= 2.48938774912321e-31
/ 3 \ lim \x - x/ x->1-
$$\lim_{x \to 1^-}\left(x^{3} - x\right)$$
0
$$0$$
= -8.29922254882846e-31
= -8.29922254882846e-31
The graph