Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 3^x/(1-cos(2/x))
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Limit of ((3-2*x)/(7-2*x))^(4-3*x)
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Limit of (1-3*x^3+2*x^5)/(x^5+2*x+4*x^2)
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Limit of (-5+2*x)^2
- Graphing y =:
- e^x*x^5
- Integral of d{x}:
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e^x*x^5
- Derivative of:
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e^x*x^5
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Identical expressions
- e^x*x^ five
- e to the power of x multiply by x to the power of 5
- e to the power of x multiply by x to the power of five
- ex*x5
- e^x*x⁵
- e^xx^5
- exx5
Limit of the function e^x*x^5
The solution
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/ x 5\ lim \E *x / x->oo
$$\lim_{x \to \infty}\left(e^{x} x^{5}\right)$$
Limit(E^x*x^5, 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
$$\lim_{x \to \infty}\left(e^{x} x^{5}\right) = \infty$$
$$\lim_{x \to 0^-}\left(e^{x} x^{5}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} x^{5}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} x^{5}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} x^{5}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} x^{5}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{x} x^{5}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{x} x^{5}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{x} x^{5}\right) = e$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{x} x^{5}\right) = e$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{x} x^{5}\right) = 0$$
More at x→-oo
The graph