Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+3*x)/(-5+x)
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Limit of (-9+x^2)/(15+x^2-8*x)
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Limit of (-1+x)/log(x)
- Limit of (a+x^2-x*(1+a))/(x^3-a^3)
- The double integral of:
- 5*x^3
- Derivative of:
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5*x^3
- Integral of d{x}:
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5*x^3
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Identical expressions
- five *x^ three
- 5 multiply by x cubed
- five multiply by x to the power of three
- 5*x3
- 5*x³
- 5*x to the power of 3
- 5x^3
- 5x3
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Similar expressions
- -cos(5*x)^3/x^2+cos(5*x)
- (x-x^3)/(8-x^2+5*x^3)
- (-7+4*x)*(1-4*x^2+5*x^3)
Limit of the function 5*x^3
The solution
You have entered
[src]
/ 3\ lim \5*x / x->-2+
$$\lim_{x \to -2^+}\left(5 x^{3}\right)$$
Limit(5*x^3, x, -2)
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
$$\lim_{x \to -2^-}\left(5 x^{3}\right) = -40$$
More at x→-2 from the left
$$\lim_{x \to -2^+}\left(5 x^{3}\right) = -40$$
$$\lim_{x \to \infty}\left(5 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 x^{3}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x^{3}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 x^{3}\right) = -\infty$$
More at x→-oo
More at x→-2 from the left
$$\lim_{x \to -2^+}\left(5 x^{3}\right) = -40$$
$$\lim_{x \to \infty}\left(5 x^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(5 x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(5 x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(5 x^{3}\right) = 5$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(5 x^{3}\right) = 5$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(5 x^{3}\right) = -\infty$$
More at x→-oo
One‐sided limits
[src]
/ 3\ lim \5*x / x->-2+
$$\lim_{x \to -2^+}\left(5 x^{3}\right)$$
-40
$$-40$$
= -40.0
/ 3\ lim \5*x / x->-2-
$$\lim_{x \to -2^-}\left(5 x^{3}\right)$$
-40
$$-40$$
= -40.0
= -40.0
The graph