What is the limit as x approaches infinity of 1/(r^x) ?

The limit as x approaches infinity of 1/(r^x) is Undefined

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limit as x approaches infinity of 1/(r^x)

x \to \infty lim (\frac{1}{r ^{x}})

Undefined

Solution steps

x \to \infty lim (\frac{1}{r ^{x}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( r ^{x} )}

x \to \infty lim (1) = 1

x \to \infty lim (r^{x}) =

Undefined

= \frac{1}{Undefined}

= Undefined

f (x) = x^{2} - 4 x + 19

f (x) = \frac{1}{5} x + \frac{3}{10} y = 2

(- 4, 9), (- 2, 4)

\frac{x + 10}{x ^{2} - 100}

f (x) = x^{2} - x - 6

What is the limit as x approaches infinity of 1/(r^x) ?
The limit as x approaches infinity of 1/(r^x) is Undefined