Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of (-tan(2*x)+sin(2*x))/x^3
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Limit of 3/n^4
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Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Derivative of:
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e^x*x^3
- Graphing y =:
- e^x*x^3
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Identical expressions
- e^x*x^ three
- e to the power of x multiply by x cubed
- e to the power of x multiply by x to the power of three
- ex*x3
- e^x*x³
- e to the power of x*x to the power of 3
- e^xx^3
- exx3
Limit of the function e^x*x^3
The solution
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/ x 3\ lim \E *x / x->oo
$$\lim_{x \to \infty}\left(e^{x} x^{3}\right)$$
Limit(E^x*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
$$\lim_{x \to \infty}\left(e^{x} x^{3}\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{x} x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} x^{3}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} x^{3}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} x^{3}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{x} x^{3}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} x^{3}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} x^{3}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} x^{3}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} x^{3}\right) = 0$$
More at x→-oo
The graph