Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*sqrt(x)+8*x^2)/(x+sin(5*x))
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Limit of ((1+2*n)^3-8*n^3)/((1+2*n)^2+4*n^2)
- Limit of x^x/factorial(2*x)
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Limit of x*(-log(6+x)+log(x))
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Identical expressions
- three ^(-x)*x^ seven
- 3 to the power of ( minus x) multiply by x to the power of 7
- three to the power of ( minus x) multiply by x to the power of seven
- 3(-x)*x7
- 3-x*x7
- 3^(-x)*x⁷
- 3^(-x)x^7
- 3(-x)x7
- 3-xx7
- 3^-xx^7
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Similar expressions
- 3^(x)*x^7
Limit of the function 3^(-x)*x^7
The solution
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/ -x 7\ lim \3 *x / x->oo
$$\lim_{x \to \infty}\left(3^{- x} x^{7}\right)$$
Limit(x^7/3^x, 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
$$\lim_{x \to \infty}\left(3^{- x} x^{7}\right) = 0$$
$$\lim_{x \to 0^-}\left(3^{- x} x^{7}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3^{- x} x^{7}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3^{- x} x^{7}\right) = \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3^{- x} x^{7}\right) = \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3^{- x} x^{7}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(3^{- x} x^{7}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3^{- x} x^{7}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3^{- x} x^{7}\right) = \frac{1}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3^{- x} x^{7}\right) = \frac{1}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3^{- x} x^{7}\right) = -\infty$$
More at x→-oo
The graph