Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. p(v) = 47v2 +2, a=1 lim p(v) = v 1 lim 47v2+2 V-1 Find p(1). P(1) = 4 lim v 1 7v + 2 by the Sum Law by the Product Law = 4 = AV lim (7v2+2) v 1 lim v-1 (7v2)+ 7v2+ lim 2 +lim 2 by the Sum Law v 1 (v2) + lim 2 v 1 by the Sum Law = 4. 7 lim v 1 = 47 (1) +2 by the Constant Multiple Law Thus, by the definition of continuity, p is continuous at a = 1.