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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

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Sees the importance of signal filtering in medical imaging

Dhruv Lamba, BSEE2010