2. (Lecture 13) Let f : R + R be defined by : x2 f(a): X +0 x = 0 -1 (a) Prove that f is not continuous at 0 by directly

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2 Lecture 13 Let F R R Be Defined By X2 F A X 0 X 0 1 A Prove That F Is Not Continuous At 0 By Directly 1 (52.17 KiB) Viewed 22 times

2. (Lecture 13) Let f : R + R be defined by : x2 f(a): X +0 x = 0 -1 (a) Prove that f is not continuous at 0 by directly verifying the negation of the ε – o definition of continuity at 0. (b) Prove that f is not continuous at 0 using a sequential continuity argument (i.e., by using the Corollary from Lecture 13).