Show that f is continuous on (-0o, ,co). 1 -x2 ifx $ 1 F( x ) = In ( x ) if x > 1 On the interval (-co, 1), fis --Select-- V function; therefore f is continuous on (-co, 1). On the interval (1, co), fis -Select-- v function; therefore f is continuous on (1, co). At x = 1, lim f(x) = lim x -1 x-1 and lim f(x) = lim x-1+ x- 1+ so lim f(x) = Also, f(1) = Thus, f is continuous at x = 1. We conclude that f is continuous on (-0o, co). X- 1 Need Help? Road It