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

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

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

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

Undefined

Solution steps

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

x \to \infty lim (1) = 1

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

Undefined

= \frac{1}{Undefined}

= Undefined

f (x) = cos (2 x)

f (x) = x^{3} + x^{2} - 5 x + 3

g (x) = 3 + x - 4

y = x^{2} - 9

9 x + 12 y = 12

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