Suppose that functions f1(x), f2(x), and f3(x) have limits L1, L2, and L3, respectively, a...

Suppose that functions f₁(x), f₂(x), and f₃(x) have limits L₁, L₂, and L₃, respectively, as. Show that their sum has limit L₁ + L₂ + L₃. Use mathematical induction (Appendix 2) to generalize this result to the sum of any finite number of functions.