Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (x+sqrt(10+x-x^2))/(sqrt(2-7*x)+2*x)
- Limit of (-1+x^m)/(-1+x)
- Limit of x*a^(-x)
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Limit of -4+x+x^3
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Identical expressions
- x*a^(-x)
- x multiply by a to the power of ( minus x)
- x*a(-x)
- x*a-x
- xa^(-x)
- xa(-x)
- xa-x
- xa^-x
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Similar expressions
- x*a^(x)
Limit of the function x*a^(-x)
The solution
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/ -x\ lim \x*a / x->oo
$$\lim_{x \to \infty}\left(a^{- x} x\right)$$
Limit(x*a^(-x), x, oo, dir='-')
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(a^{- x} x\right)$$
$$\lim_{x \to 0^-}\left(a^{- x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(a^{- x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(a^{- x} x\right) = \frac{1}{a}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(a^{- x} x\right) = \frac{1}{a}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(a^{- x} x\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(a^{- x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(a^{- x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(a^{- x} x\right) = \frac{1}{a}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(a^{- x} x\right) = \frac{1}{a}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(a^{- x} x\right)$$
More at x→-oo