How do you find the horizontal asymptote for #g(x)=5^x#?

1 Answer
Nov 11, 2015

Answer:

#y=0#

Explanation:

For any function f(x), horizontal asymptotes occur at #lim_(x->+-oo)f(x)#.

In this case, #lim_(x->-oo)5^x=0 and lim_(x->oo)5^x=oo#.

hence there is a horizontal asymptote at #y=0#.

This is clear from the graph of the function given below :

graph{5^x [-16.79, 11.69, -4.84, 9.4]}