Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*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 (x cubed )
- e to the power of (x to the power of three)
- e(x3)
- ex3
- e^(x³)
- e to the power of (x to the power of 3)
- e^x^3
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Similar expressions
- (x+e^x)^(3/x)
- x*tanh(x)^2/log(x+e^x)^3
Limit of the function e^(x^3)
The solution
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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
$$\lim_{x \to \infty} e^{x^{3}} = \infty$$
$$\lim_{x \to 0^-} e^{x^{3}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} e^{x^{3}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} e^{x^{3}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x^{3}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x^{3}} = 0$$
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
$$\lim_{x \to 1^-} e^{x^{3}} = e$$
More at x→1 from the left
$$\lim_{x \to 1^+} e^{x^{3}} = e$$
More at x→1 from the right
$$\lim_{x \to -\infty} e^{x^{3}} = 0$$
More at x→-oo
The graph