# Math Help - Limits question

1. ## Limits question

im pretty sure i just need some insight to solve the problem, but i cant seem to figure it out...

Construct two functions f,g R --> R such that

lim x-->0 f(x) and lim x-->0 g(x) do not exist but lim --> 0 (f+g)(x) does exist.

2. Originally Posted by dlee426
im pretty sure i just need some insight to solve the problem, but i cant seem to figure it out...

Construct two functions f,g R --> R such that

lim x-->0 f(x) and lim x-->0 g(x) do not exist but lim --> 0 (f+g)(x) does exist.
f(x) = 1/x and g(x) = -1/x.