Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Integral of d{x}:
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x*e^(x^2)
- x*e^(x^2)
- Derivative of:
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x*e^(x^2)
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Identical expressions
- x*e^(x^ two)
- x multiply by e to the power of (x squared )
- x multiply by e to the power of (x to the power of two)
- x*e(x2)
- x*ex2
- x*e^(x²)
- x*e to the power of (x to the power of 2)
- xe^(x^2)
- xe(x2)
- xex2
- xe^x^2
Limit of the function x*e^(x^2)
The solution
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lim \x*E /
x->oo
$$\lim_{x \to \infty}\left(e^{x^{2}} x\right)$$
Limit(x*E^(x^2), 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
$$\lim_{x \to \infty}\left(e^{x^{2}} x\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{x^{2}} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x^{2}} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x^{2}} x\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x^{2}} x\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x^{2}} x\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{x^{2}} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x^{2}} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x^{2}} x\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x^{2}} x\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x^{2}} x\right) = -\infty$$
More at x→-oo
The graph