Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-4+3*x)/(2+3*x))^(1+x)/3
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (3+x^2+4*x)/(1+x^3)
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Limit of (-4+x^2)/(x^3+2*x)
- Graphing y =:
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-x-x^3
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Identical expressions
- -x-x^ three
- minus x minus x cubed
- minus x minus x to the power of three
- -x-x3
- -x-x³
- -x-x to the power of 3
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Similar expressions
- -x+x^3
- x-x^3
Limit of the function -x-x^3
The solution
You have entered
[src]
/ 3\ lim \-x - x / x->1+
$$\lim_{x \to 1^+}\left(- x^{3} - x\right)$$
Limit(-x - 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
One‐sided limits
[src]
/ 3\ lim \-x - x / x->1+
$$\lim_{x \to 1^+}\left(- x^{3} - x\right)$$
-2
$$-2$$
= -2.0
/ 3\ lim \-x - x / x->1-
$$\lim_{x \to 1^-}\left(- x^{3} - x\right)$$
-2
$$-2$$
= -2.0
= -2.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(- x^{3} - x\right) = -2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- x^{3} - x\right) = -2$$
$$\lim_{x \to \infty}\left(- x^{3} - x\right) = -\infty$$
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
$$\lim_{x \to 1^+}\left(- x^{3} - x\right) = -2$$
$$\lim_{x \to \infty}\left(- x^{3} - x\right) = -\infty$$
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
The graph