Show that #lim_(x to +oo)f'(x)=0# ?
Given #f# differentiable in #RR# with #f(x)!=0# #AAx# #in# #RR# . If #lim_(x to +oo)f(x)# exists then show that #lim_(x to +oo)f'(x)=0#
Given
1 Answer
Jan 25, 2018
See below.
Explanation:
Solved it.
Supposed
then
We have
#h(x)=f(x)+f'(x)# with#lim_(xto+oo)h(x)=λ#
Thus,
Therefore,
As a result,