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11 Oct 2018
(2+21=3 3 5. Let f(c)= -11 if : 71 Find all x where f() is continuous. if r=1 14 Solution: By the continuity theorems we have that f() is continuous for all 1 #1. For r = 1, we have = lim 11- -(x+3) = -4 11- 1 + 2.0 -3 : lim lim (+3)(x - 1) f(1) = 2-1 1-1 1-1- -(2-1) Thus, lim f(1) = f(1), so f(t) is not continuous at x = 1. Therefore, f(t) is continuous on (-0,1) U (1,0).
(2+21=3 3 5. Let f(c)= -11 if : 71 Find all x where f() is continuous. if r=1 14 Solution: By the continuity theorems we have that f() is continuous for all 1 #1. For r = 1, we have = lim 11- -(x+3) = -4 11- 1 + 2.0 -3 : lim lim (+3)(x - 1) f(1) = 2-1 1-1 1-1- -(2-1) Thus, lim f(1) = f(1), so f(t) is not continuous at x = 1. Therefore, f(t) is continuous on (-0,1) U (1,0).
Deanna HettingerLv2
12 Oct 2018