Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5+x-3*x^2)/(4-x+2*x^2)
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Limit of (4-x^2)/(3-x^2)
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
- Sum of series:
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n^(1/n)
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Identical expressions
- n^(one /n)
- n to the power of (1 divide by n)
- n to the power of (one divide by n)
- n(1/n)
- n1/n
- n^1/n
- n^(1 divide by n)
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Similar expressions
- (pi/2-atan(n))^(1/n)
- factorial(n)^(1/n)
- (2^(-1+n)*e^(-n))^(1/n)
- (1/(n*log(n)))^(1/n)
Limit of the function n^(1/n)
The solution
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n ___ lim \/ n n->oo
$$\lim_{n \to \infty} n^{\frac{1}{n}}$$
Limit(n^(1/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
$$\lim_{n \to \infty} n^{\frac{1}{n}} = 1$$
$$\lim_{n \to 0^-} n^{\frac{1}{n}} = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+} n^{\frac{1}{n}} = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-} n^{\frac{1}{n}} = 1$$
More at n→1 from the left
$$\lim_{n \to 1^+} n^{\frac{1}{n}} = 1$$
More at n→1 from the right
$$\lim_{n \to -\infty} n^{\frac{1}{n}} = 1$$
More at n→-oo
$$\lim_{n \to 0^-} n^{\frac{1}{n}} = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+} n^{\frac{1}{n}} = 0$$
More at n→0 from the right
$$\lim_{n \to 1^-} n^{\frac{1}{n}} = 1$$
More at n→1 from the left
$$\lim_{n \to 1^+} n^{\frac{1}{n}} = 1$$
More at n→1 from the right
$$\lim_{n \to -\infty} n^{\frac{1}{n}} = 1$$
More at n→-oo
The graph