Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1/(2-x)-3/(4-x^2)
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Limit of (1+1/(7*x))^(5*x)
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Limit of (x+sqrt(10+x-x^2))/(sqrt(2-7*x)+2*x)
- Limit of (-1+x^m)/(-1+x)
- Integral of d{x}:
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e^(-x^3)
- Derivative of:
- e^(-x^3)
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Identical expressions
- e^(-x^ three)
- e to the power of ( minus x cubed )
- e to the power of ( minus x to the power of three)
- e(-x3)
- e-x3
- e^(-x³)
- e to the power of (-x to the power of 3)
- e^-x^3
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Similar expressions
- e^(x^3)
Limit of the function e^(-x^3)
The solution
You have entered
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3
-x
lim E
x->oo
$$\lim_{x \to \infty} e^{- x^{3}}$$
Limit(E^(-x^3), x, oo, dir='-')
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
$$\lim_{x \to \infty} e^{- x^{3}} = 0$$
$$\lim_{x \to 0^-} e^{- x^{3}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- x^{3}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- x^{3}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- x^{3}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- x^{3}} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} e^{- x^{3}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{- x^{3}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{- x^{3}} = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{- x^{3}} = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{- x^{3}} = \infty$$
More at x→-oo
The graph