Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (2*(-1)^x+8*x^6)/(32-6*x^5+5*x^6)
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Limit of -3-x+11*x^2/2
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Limit of (-5-24*x+5*x^2)/(-5+x)
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Limit of (2+4*x)/(1+x)
- Sum of series:
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3^(1/n)
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Identical expressions
- three ^(one /n)
- 3 to the power of (1 divide by n)
- three to the power of (one divide by n)
- 3(1/n)
- 31/n
- 3^1/n
- 3^(1 divide by n)
Limit of the function 3^(1/n)
The solution
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n ___ lim \/ 3 n->oo
$$\lim_{n \to \infty} 3^{\frac{1}{n}}$$
Limit(3^(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
$$\lim_{n \to \infty} 3^{\frac{1}{n}} = 1$$
$$\lim_{n \to 0^-} 3^{\frac{1}{n}} = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+} 3^{\frac{1}{n}} = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-} 3^{\frac{1}{n}} = 3$$
More at n→1 from the left
$$\lim_{n \to 1^+} 3^{\frac{1}{n}} = 3$$
More at n→1 from the right
$$\lim_{n \to -\infty} 3^{\frac{1}{n}} = 1$$
More at n→-oo
$$\lim_{n \to 0^-} 3^{\frac{1}{n}} = 0$$
More at n→0 from the left
$$\lim_{n \to 0^+} 3^{\frac{1}{n}} = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-} 3^{\frac{1}{n}} = 3$$
More at n→1 from the left
$$\lim_{n \to 1^+} 3^{\frac{1}{n}} = 3$$
More at n→1 from the right
$$\lim_{n \to -\infty} 3^{\frac{1}{n}} = 1$$
More at n→-oo
The graph