Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of sin(2/x)
-
Limit of (-1+x)^2/(-1+x^2)
-
Limit of x-x^2/3
-
Limit of sin(3*x^2)/x^2
- Sum of series:
-
4^n
- Derivative of:
- 4^n
-
Identical expressions
- four ^n
- 4 to the power of n
- four to the power of n
- 4n
Limit of the function 4^n
The solution
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
$$\lim_{n \to \infty} 4^{n} = \infty$$
$$\lim_{n \to 0^-} 4^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} 4^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} 4^{n} = 4$$
More at n→1 from the left
$$\lim_{n \to 1^+} 4^{n} = 4$$
More at n→1 from the right
$$\lim_{n \to -\infty} 4^{n} = 0$$
More at n→-oo
$$\lim_{n \to 0^-} 4^{n} = 1$$
More at n→0 from the left
$$\lim_{n \to 0^+} 4^{n} = 1$$
More at n→0 from the right
$$\lim_{n \to 1^-} 4^{n} = 4$$
More at n→1 from the left
$$\lim_{n \to 1^+} 4^{n} = 4$$
More at n→1 from the right
$$\lim_{n \to -\infty} 4^{n} = 0$$
More at n→-oo
The graph