14. [2/8 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.5.039. MY NOTES ASK YOUR TEACHER Show that f is continuous on (-00,

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14 2 8 Points Details Previous Answers Scalcet8 2 5 039 My Notes Ask Your Teacher Show That F Is Continuous On 00 1 (348.77 KiB) Viewed 443 times

14. [2/8 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.5.039. MY NOTES ASK YOUR TEACHER Show that f is continuous on (-00,00). S1-x² if x = 1 f(x) In(x) if x > 1 On the interval (-0, 1), fisa polynomial function; therefore fis continuous on (-0, 1). On the interval (1, ), f is a logarithmic function; therefore f is continuous on (1, 0). At x = 1, lim f(x) = lim x1 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 (-0,00). X1