1. (Lecture 12) Let f : (0,00) + R be given by f(x):= . = (a) Prove that f is continuous directly from the e 8 definitio
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1. (Lecture 12) Let f : (0,00) + R be given by f(x):= . = (a) Prove that f is continuous directly from the e 8 definitio
1. (Lecture 12) Let f : (0,00) + R be given by f(x):= . = (a) Prove that f is continuous directly from the e 8 definition of continuity. [Hint: It may be a good idea to look back at the example we did in Lecture 12.) (b) Prove that f is continuous using the notion of sequential continuity.
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