Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of ((-3+10*x)/(-1+10*x))^(5*x)
-
Limit of factorial(n)/cos(n)
-
Limit of log(tan(x))*tan(x)
-
Limit of x^(1/3)
-
Identical expressions
- factorial(n)/cos(n)
- factorial(n) divide by co sinus of e of (n)
- factorialn/cosn
- factorial(n) divide by cos(n)
Limit of the function factorial(n)/cos(n)
The solution
You have entered
[src]
/ n! \ lim |------| n->oo\cos(n)/
$$\lim_{n \to \infty}\left(\frac{n!}{\cos{\left(n \right)}}\right)$$
Limit(factorial(n)/cos(n), n, 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 n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(\frac{n!}{\cos{\left(n \right)}}\right)$$
$$\lim_{n \to 0^-}\left(\frac{n!}{\cos{\left(n \right)}}\right) = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{n!}{\cos{\left(n \right)}}\right) = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{n!}{\cos{\left(n \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{n!}{\cos{\left(n \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{n!}{\cos{\left(n \right)}}\right)$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{n!}{\cos{\left(n \right)}}\right) = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{n!}{\cos{\left(n \right)}}\right) = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{n!}{\cos{\left(n \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{n!}{\cos{\left(n \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{n!}{\cos{\left(n \right)}}\right)$$
More at n→-oo
Rapid solution
[src]
/ n! \ lim |------| n->oo\cos(n)/
$$\lim_{n \to \infty}\left(\frac{n!}{\cos{\left(n \right)}}\right)$$
The graph