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Problems in Real Analysis Advanced Calculus on The Real Axis

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Fig. 4.1 Discontinuity of the first kind.
Fig. 4.2 Discontinuity of the second kind (limit does not exist).
Fig. 4.4 Graph of the function f (x) = sin1/x, ̸ x= 0.
Fig. 4.5 Illustration of L¨uroth’s proof of the Weierstrass theorem.
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