Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of 5-9*x+3*x^2/2
-
Limit of (-tan(x)+sin(x))/x
-
Limit of 3-sqrt(n)+sqrt(3)*sqrt(n)
-
Limit of (1/4)^x
- Graphing y =:
- (1/4)^x
- Derivative of:
-
(1/4)^x
-
Identical expressions
- (one / four)^x
- (1 divide by 4) to the power of x
- (one divide by four) to the power of x
- (1/4)x
- 1/4x
- 1/4^x
- (1 divide by 4)^x
Limit of the function (1/4)^x
The solution
You have entered
[src]
-x lim 4 x->-oo
$$\lim_{x \to -\infty} \left(\frac{1}{4}\right)^{x}$$
Limit((1/4)^x, x, -oo)
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 x→0, -oo, +oo, 1
$$\lim_{x \to -\infty} \left(\frac{1}{4}\right)^{x} = \infty$$
$$\lim_{x \to \infty} \left(\frac{1}{4}\right)^{x} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \left(\frac{1}{4}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(\frac{1}{4}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(\frac{1}{4}\right)^{x} = \frac{1}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(\frac{1}{4}\right)^{x} = \frac{1}{4}$$
More at x→1 from the right
$$\lim_{x \to \infty} \left(\frac{1}{4}\right)^{x} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \left(\frac{1}{4}\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(\frac{1}{4}\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left(\frac{1}{4}\right)^{x} = \frac{1}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(\frac{1}{4}\right)^{x} = \frac{1}{4}$$
More at x→1 from the right
The graph