Question #5a39f

1 Answer
Yiu A.
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#

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