Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
-
Limit of (-tan(2*x)+sin(2*x))/x^3
-
Limit of 3/n^4
-
Limit of (1-cos(x)^2)/(x^2*sin(x)^2)
- Sum of series:
- x^n/factorial(n)
-
Identical expressions
- x^n/factorial(n)
- x to the power of n divide by factorial(n)
- xn/factorial(n)
- xn/factorialn
- x^n/factorialn
- x^n divide by factorial(n)
Limit of the function x^n/factorial(n)
The solution
You have entered
[src]
/ n\
|x |
lim |--|
n->oo\n!/
$$\lim_{n \to \infty}\left(\frac{x^{n}}{n!}\right)$$
Limit(x^n/factorial(n), n, oo, dir='-')
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(\frac{x^{n}}{n!}\right) = 0$$
$$\lim_{n \to 0^-}\left(\frac{x^{n}}{n!}\right) = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{x^{n}}{n!}\right) = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{x^{n}}{n!}\right) = x$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{x^{n}}{n!}\right) = x$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{x^{n}}{n!}\right)$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{x^{n}}{n!}\right) = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{x^{n}}{n!}\right) = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{x^{n}}{n!}\right) = x$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{x^{n}}{n!}\right) = x$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{x^{n}}{n!}\right)$$
More at n→-oo