Let N be endowed with the discrete topology and Y = {0} U nEN-(0,1} be a subspace of R. The topology on Y is the induced topology by the Euclidean topology on R. We define the function %3D J:N-{0}Y by f(1) =0 and f(n) =, Vn > 1. %3D 1. f is a one to one function. a. True b. False 2. f is onto. a. True b. False 3. f is continuous. a. True b. False 4. (0} is open in Y. a. True b. False 5. f- is continuous. a. True b. False 6. f is a homeomorphism.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.