Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-6+x^2-x)/(6+x^2-5*x)
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Limit of log(1+x^2)/(-e^(-x)+cos(3*x))
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Limit of -2+|-2+x|/x
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Limit of 1+cos(pi*x)/tan(pi*x)^2
- Derivative of:
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8*x^3
- Integral of d{x}:
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8*x^3
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Identical expressions
- eight *x^ three
- 8 multiply by x cubed
- eight multiply by x to the power of three
- 8*x3
- 8*x³
- 8*x to the power of 3
- 8x^3
- 8x3
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Similar expressions
- (-5*x^2+6*x)/(-2*x+8*x^3)
- -4+3*x+8*x^3-x^2/5
- (-1+8*x^3)/(1-5*x+6*x^2)
- (1-5*x+6*x^2)/(-1+8*x^3)
Limit of the function 8*x^3
The solution
You have entered
[src]
/ 3\ lim \8*x / x->-1+
$$\lim_{x \to -1^+}\left(8 x^{3}\right)$$
Limit(8*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
$$\lim_{x \to -1^-}\left(8 x^{3}\right) = -8$$
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(8 x^{3}\right) = -8$$
$$\lim_{x \to \infty}\left(8 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(8 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(8 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(8 x^{3}\right) = 8$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(8 x^{3}\right) = 8$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(8 x^{3}\right) = -\infty$$
More at x→-oo
More at x→-1 from the left
$$\lim_{x \to -1^+}\left(8 x^{3}\right) = -8$$
$$\lim_{x \to \infty}\left(8 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(8 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(8 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(8 x^{3}\right) = 8$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(8 x^{3}\right) = 8$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(8 x^{3}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 3\ lim \8*x / x->-1+
$$\lim_{x \to -1^+}\left(8 x^{3}\right)$$
-8
$$-8$$
= -8
/ 3\ lim \8*x / x->-1-
$$\lim_{x \to -1^-}\left(8 x^{3}\right)$$
-8
$$-8$$
= -8
= -8
The graph