Use the fact that limx → c x = c and the result of Exercise 2 to show that limx → c xn =...

Use the fact that lim_{x → c} x = c and the result of Exercise 2 to show that lim_{x → c} xⁿ = cⁿ for any integer n > 1.

Ref: Use mathematical induction and the Limit Product Rule in Theorem 1 to show that if functions f₁(x), f₂(x),...,f_n(x) have limits L₁, L₂,…,L_n as x → c, then