Mister Exam
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- Limit of the function:
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Limit of e^(-x)*x^10
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Limit of tan(7*x)/(3*x)
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Limit of (sqrt(1+x)-sqrt(1-x))/(2*x)
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Limit of (4-4*e^(-x^2/2)+sin(x^2))/(x^3*(-1+e^x))
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Identical expressions
- e^(-x)*x^ ten
- e to the power of ( minus x) multiply by x to the power of 10
- e to the power of ( minus x) multiply by x to the power of ten
- e(-x)*x10
- e-x*x10
- e^(-x)x^10
- e(-x)x10
- e-xx10
- e^-xx^10
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Similar expressions
- e^(x)*x^10
Limit of the function e^(-x)*x^10
The solution
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/ -x 10\ lim \E *x / x->oo
$$\lim_{x \to \infty}\left(e^{- x} x^{10}\right)$$
Limit(E^(-x)*x^10, x, oo, dir='-')
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(e^{- x} x^{10}\right) = 0$$
$$\lim_{x \to 0^-}\left(e^{- x} x^{10}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} x^{10}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} x^{10}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} x^{10}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} x^{10}\right) = \infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(e^{- x} x^{10}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(e^{- x} x^{10}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(e^{- x} x^{10}\right) = e^{-1}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(e^{- x} x^{10}\right) = e^{-1}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(e^{- x} x^{10}\right) = \infty$$
More at x→-oo
The graph