Mathematics, 28.12.2020 04:20 YEOng
Let X be a topological space and let C and U be subsets of
X. Define C to be closed if C contains all its limit points and
define U to be open if every point p ∈ U has a neighborhood
which is contained in U. Assuming these definitions show
that the following statements are equivalent for a subset S of
X.
i) S is closed in X;
ii) X – S is open in X;
iii) S = [S].
Answers: 3
Mathematics, 21.06.2019 15:00
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Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above
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Mathematics, 21.06.2019 17:00
Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .
Answers: 1
Mathematics, 21.06.2019 18:00
When lulu enlarged her drawing of a rabbit, the enlarged picture appeared to be distorted. which statement about the transformation applied to her drawing is true?
Answers: 2
Let X be a topological space and let C and U be subsets of
X. Define C to be closed if C contains a...
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