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1.d. Let <math>A \subset \Re</math>, let <math>f: A \mapsto \Re</math>, and let <math>c \in A</math>. We say that f is continuous at c if | 1.d. Let <math>A \subset \Re</math>, let <math>f: A \mapsto \Re</math>, and let <math>c \in A</math>. We say that f is continuous at c if | ||
-Choice 4 by '''5.5.1 Definition'''. | -Choice 4 by '''5.5.1 Definition'''. | ||
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| + | '''PROBLEM 2''' | ||
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PROBLEM 1
1.a. A sequence ($ x_n $) is said to be a Cauchy sequence if
-Choice 2 by 3.5.1 Definition
1.b. The statement of the Bolzano-Weierstrass theorem is:
-Choice 3 by 3.4.8 Theorem
1.c. Let $ f: A \mapsto \Re $. Suppose that $ (a,\infty) \subset A $ for some $ a \in \Re $. We say the limit of f as $ x \rightarrow \infty $ and write $ \lim_{x\to\infty}f = L $
-Choice 5 by 4.3.10 Definition
1.d. Let $ A \subset \Re $, let $ f: A \mapsto \Re $, and let $ c \in A $. We say that f is continuous at c if
-Choice 4 by 5.5.1 Definition.
PROBLEM 2
