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))^(1+x)/3
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-14+x^2-5*x)/(-6+x+2*x^2)
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Limit of (3+x^2+4*x)/(1+x^3)
- Sum of series:
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(5/6)^n
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Identical expressions
- (five / six)^n
- (5 divide by 6) to the power of n
- (five divide by six) to the power of n
- (5/6)n
- 5/6n
- 5/6^n
- (5 divide by 6)^n
Limit of the function (5/6)^n
The solution
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n lim 5/6 n->oo
$$\lim_{n \to \infty} \left(\frac{5}{6}\right)^{n}$$
Limit((5/6)^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
$$\lim_{n \to \infty} \left(\frac{5}{6}\right)^{n} = 0$$
$$\lim_{n \to 0^-} \left(\frac{5}{6}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(\frac{5}{6}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(\frac{5}{6}\right)^{n} = \frac{5}{6}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(\frac{5}{6}\right)^{n} = \frac{5}{6}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(\frac{5}{6}\right)^{n} = \infty$$
More at n→-oo
$$\lim_{n \to 0^-} \left(\frac{5}{6}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(\frac{5}{6}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(\frac{5}{6}\right)^{n} = \frac{5}{6}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(\frac{5}{6}\right)^{n} = \frac{5}{6}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(\frac{5}{6}\right)^{n} = \infty$$
More at n→-oo
The graph