Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+x)/(x+x^2)
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Limit of log(-5+x)/log(e^x-e^5)
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Limit of (-exp(-x)-2*x+exp(x))/(x-sin(x))
- Limit of e^(-n*x)/n
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Identical expressions
- e^(-n*x)/n
- e to the power of ( minus n multiply by x) divide by n
- e(-n*x)/n
- e-n*x/n
- e^(-nx)/n
- e(-nx)/n
- e-nx/n
- e^-nx/n
- e^(-n*x) divide by n
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Similar expressions
- e^(n*x)/n
Limit of the function e^(-n*x)/n
The solution
You have entered
[src]
/ -n*x\
|E |
lim |-----|
x->oo\ n /
$$\lim_{x \to \infty}\left(\frac{e^{- n x}}{n}\right)$$
Limit(E^((-n)*x)/n, x, oo, dir='-')
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{e^{- n x}}{n}\right)$$
$$\lim_{x \to 0^-}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- n x}}{n}\right)$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{e^{- n x}}{n}\right) = \frac{1}{n}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{e^{- n x}}{n}\right) = \frac{e^{- n}}{n}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{e^{- n x}}{n}\right)$$
More at x→-oo