Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
- Limit of sin(factorial(x))
-
Limit of sin(sqrt(x))/sqrt(x)
-
Limit of cot(pi*x)*sin(x)/(2*sec(x))
-
Limit of cos(sqrt(x))
-
Identical expressions
- sin(factorial(x))
- sinus of (factorial(x))
- sinfactorialx
Limit of the function sin(factorial(x))
The solution
You have entered
[src]
lim sin(x!) x->oo
$$\lim_{x \to \infty} \sin{\left(x! \right)}$$
Limit(sin(factorial(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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \sin{\left(x! \right)} = \left\langle -1, 1\right\rangle$$
$$\lim_{x \to 0^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(x! \right)} = \sin{\left(\left(-\infty\right)! \right)}$$
More at x→-oo
$$\lim_{x \to 0^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sin{\left(x! \right)} = \sin{\left(\left(-\infty\right)! \right)}$$
More at x→-oo