Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
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Limit of (1+2*n)/(-1+3*n)
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Limit of (x^3-3^x)/(-3+x)
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Limit of -x+(-2+x)^4/(3+x)^4
- Derivative of:
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4/x^3
- Integral of d{x}:
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4/x^3
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Identical expressions
- four /x^ three
- 4 divide by x cubed
- four divide by x to the power of three
- 4/x3
- 4/x³
- 4/x to the power of 3
- 4 divide by x^3
Limit of the function 4/x^3
The solution
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[src]
/4 \
lim |--|
x->0+| 3|
\x /
$$\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right)$$
Limit(4/x^3, x, 0)
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]
/4 \
lim |--|
x->0+| 3|
\x /
$$\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right)$$
oo
$$\infty$$
= 13771804.0
/4 \
lim |--|
x->0-| 3|
\x /
$$\lim_{x \to 0^-}\left(\frac{4}{x^{3}}\right)$$
-oo
$$-\infty$$
= -13771804.0
= -13771804.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{4}{x^{3}}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{4}{x^{3}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{4}{x^{3}}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{4}{x^{3}}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{4}{x^{3}}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{4}{x^{3}}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{4}{x^{3}}\right) = 4$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{4}{x^{3}}\right) = 4$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{4}{x^{3}}\right) = 0$$
More at x→-oo
The graph