Question #5a39f

1 Answer
Oct 22, 2017

When 0< a <1 , lim =0
When a>1 , lim =oo

Explanation:

When 0< a <1 , let 1/b =a so that it is easier for you to understand the value with interval (0,1)

lim_(x->oo) (a^x)= lim_(x->oo) (1/b)^x =lim_(x->oo) 1/(b^x)
=1/(b^oo) = 1/oo = 0

When a>1 ,

lim_(x->oo) (a^x) = a^oo =oo