Find lim x--->0 (e^3x - 1/ 3x) ??

1 Answer
May 13, 2018

#lim_(xrarr0^+)[e^(3x)-1/(3x)]=-oo#

#lim_(xrarr0^-)[e^(3x)-1/(3x)]=+oo#

Explanation:

show below:

#lim_(xrarr0)[e^(3x)-1/(3x)]#

since the direct compensation product equal #[c!=0]/0#

c=constant

we will discuss the rarr from right and the rarr from left

#lim_(xrarr0^+)[e^(3x)-1/(3x)]=-oo#

#lim_(xrarr0^-)[e^(3x)-1/(3x)]=+oo#