Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
-
Limit of (-cos(5*x)+cos(3*x))/x^2
-
Limit of (-1+cos(7*x))/(-1+cos(3*x))
-
Limit of (16+x^2+10*x)/(-6+x^2-x)
- Sum of series:
-
(2/3)^n
-
Identical expressions
- (two / three)^n
- (2 divide by 3) to the power of n
- (two divide by three) to the power of n
- (2/3)n
- 2/3n
- 2/3^n
- (2 divide by 3)^n
Limit of the function (2/3)^n
The solution
You have entered
[src]
n lim 2/3 n->oo
$$\lim_{n \to \infty} \left(\frac{2}{3}\right)^{n}$$
Limit((2/3)^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
$$\lim_{n \to \infty} \left(\frac{2}{3}\right)^{n} = 0$$
$$\lim_{n \to 0^-} \left(\frac{2}{3}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(\frac{2}{3}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(\frac{2}{3}\right)^{n} = \frac{2}{3}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(\frac{2}{3}\right)^{n} = \frac{2}{3}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(\frac{2}{3}\right)^{n} = \infty$$
More at n→-oo
$$\lim_{n \to 0^-} \left(\frac{2}{3}\right)^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} \left(\frac{2}{3}\right)^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} \left(\frac{2}{3}\right)^{n} = \frac{2}{3}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \left(\frac{2}{3}\right)^{n} = \frac{2}{3}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \left(\frac{2}{3}\right)^{n} = \infty$$
More at n→-oo
The graph