Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Integral of d{x}:
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e^(x^2)*x^3
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Identical expressions
- e^(x^ two)*x^ three
- e to the power of (x squared ) multiply by x cubed
- e to the power of (x to the power of two) multiply by x to the power of three
- e(x2)*x3
- ex2*x3
- e^(x²)*x³
- e to the power of (x to the power of 2)*x to the power of 3
- e^(x^2)x^3
- e(x2)x3
- ex2x3
- e^x^2x^3
Limit of the function e^(x^2)*x^3
The solution
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lim \e *x /
x->oo
$$\lim_{x \to \infty}\left(x^{3} e^{x^{2}}\right)$$
Limit(E^(x^2)*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
$$\lim_{x \to \infty}\left(x^{3} e^{x^{2}}\right) = \infty$$
$$\lim_{x \to 0^-}\left(x^{3} e^{x^{2}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} e^{x^{2}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} e^{x^{2}}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} e^{x^{2}}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} e^{x^{2}}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x^{3} e^{x^{2}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{3} e^{x^{2}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{3} e^{x^{2}}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{3} e^{x^{2}}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{3} e^{x^{2}}\right) = -\infty$$
More at x→-oo
The graph