Question

Suppose f and g are two functions defined on some neighbourhood of c such that lim f(x)=l and lim g(x)=m.Show that lim f(x)+g(x)=l+m

Answer 1

Trivial if you use limit laws.

$\lim f(x) + g(x) = \lim f(x) + \lim g(x) = l + m$