Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1-cos(x)^2)/x
-
Limit of (1-cos(4*x))/(4*x^2)
-
Limit of (1+8*x)^(1/x)
-
Limit of (1+7/x)^(3*x)
- Graphing y =:
- 5^(-x)
- Integral of d{x}:
- 5^(-x)
-
Identical expressions
- five ^(-x)
- 5 to the power of ( minus x)
- five to the power of ( minus x)
- 5(-x)
- 5-x
- 5^-x
-
Similar expressions
- 5^(-x)*x^(5/3)
- 15^(-x)*((3+x)/x)^(x^2)
- 5^(-x)/x
- 5^(x)
- 5^(-x)*(-pi)^x
- x-5^(-x)
Limit of the function 5^(-x)
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 x→0, -oo, +oo, 1
$$\lim_{x \to \infty} 5^{- x} = 0$$
$$\lim_{x \to 0^-} 5^{- x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 5^{- x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 5^{- x} = \frac{1}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} 5^{- x} = \frac{1}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} 5^{- x} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} 5^{- x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} 5^{- x} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} 5^{- x} = \frac{1}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} 5^{- x} = \frac{1}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} 5^{- x} = \infty$$
More at x→-oo
The graph