Show that fis continuous on (-00, 00). if x 1 if x > 1 f(x)...

Transcribed Image Text:

Show that fis continuous on (-00, 00). if x ≤ 1 if x > 1 f(x) On the interval (-∞0, 1), fis On the interval (1, ∞), fis At x = 1, lim f(x) = lim x-1 x-17 and lim f(x) = lim x-1 X-1 so lim 1-x² In(x) E (x) continuous on (-00, 0o). -Select- --Select- function; therefore fis continuous on (-∞0, 1). function; therefore fis continuous on (1, 0). Also, f(1) = Thus, f is continuous at x = 1. We conclude that fis Show that fis continuous on (-00, 00). if x ≤ 1 if x > 1 f(x) On the interval (-∞0, 1), fis On the interval (1, ∞), fis At x = 1, lim f(x) = lim x-1 x-17 and lim f(x) = lim x-1 X-1 so lim 1-x² In(x) E (x) continuous on (-00, 0o). -Select- --Select- function; therefore fis continuous on (-∞0, 1). function; therefore fis continuous on (1, 0). Also, f(1) = Thus, f is continuous at x = 1. We conclude that fis

Answer rating: 100% (QA)

o show that f is continuous on co 1 we need to show that f is continuous at every point in the inter... View the full answer