Prove LIM (X -- > x0) 2 ^ x = 2 ^ x0 by definition

Prove LIM (X -- > x0) 2 ^ x = 2 ^ x0 by definition

Because | 2 ^ X-2 ^ x0 | = | 2 ^ x0 * [2 ^ (x-x0) - 1] | = 2 ^ x0 * | 2 ^ (x-x0) - 1|
To make | 2 ^ X-2 ^ X0|