Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x*exp(x)
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Limit of sin(2*x)/sin(x)^2
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Limit of ((1+2*x)/(-1+x))^x
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Limit of exp(n)
- Graphing y =:
- x*exp(x)
- Integral of d{x}:
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x*exp(x)
- Derivative of:
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x*exp(x)
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Identical expressions
- x*exp(x)
- x multiply by exponent of (x)
- xexp(x)
- xexpx
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Similar expressions
- (1+x)*exp(x/(1+x))
- x*exp(x^2/2)
Limit of the function x*exp(x)
The solution
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/ x\ lim \x*e / x->oo
$$\lim_{x \to \infty}\left(x e^{x}\right)$$
Limit(x*exp(x), 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
$$\lim_{x \to \infty}\left(x e^{x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(x e^{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x e^{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x e^{x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x e^{x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x e^{x}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x e^{x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x e^{x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x e^{x}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x e^{x}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x e^{x}\right) = 0$$
More at x→-oo
The graph