(This is problem 23 of section 1.4 on page 106): Suppose f and g are two real-valued functions and lim x->a f(x) = L and lim x-> g(x) = M, where L and M are real numbers. Using the formal definition of limit, show that lim x->a (f-g)(x) = L-M.

Prove if lim x-> f(x) = L and lim x->g(x) = M then lim x->a [f(x)-g(x)]L-M