Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-4+3*x)/(2+3*x))^(2*x)
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Limit of (3+x^2-x)/(-3+3*x+5*x^2)
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Limit of (-1+x^2)/(-2+x+x^2)
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Limit of (sqrt(5+x)-sqrt(10))/(-15+x^2-2*x)
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Identical expressions
- factorial(x)/x
- factorial(x) divide by x
- factorialx/x
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Similar expressions
- log(factorial(x))/x
- log(x)*log(factorial(x))/x
- log(factorial(x))/x^2
- -3+sin(factorial(x))/x
- 1+sin(factorial(x))/x^(1/3)
Limit of the function factorial(x)/x
The solution
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/x!\ lim |--| x->oo\x /
$$\lim_{x \to \infty}\left(\frac{x!}{x}\right)$$
Limit(factorial(x)/x, x, oo, dir='-')
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x!}{x}\right) = \infty$$
$$\lim_{x \to 0^-}\left(\frac{x!}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x!}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x!}{x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x!}{x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x!}{x}\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{x!}{x}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x!}{x}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x!}{x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x!}{x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x!}{x}\right) = 0$$
More at x→-oo