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Earn +20 ptsQ: When will a set in R said to be compact?
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Definition of compact set?
A set S of real numbers is called compact if every sequence in S has a subsequence that converges to an element again contained in S.
How many syllables are there in the word Mayflower Compact?
4 Mayflower (3) May-Flow-R Compact (2) Com-Pact. (5) total both words.
A compact disc to the edge of the disc is 6 centimeters What is the area of the compact disc?
A = pi * r^2 A = pi * 6^2 A = 36pi If you are using 3.14 for pi, then ANS : D.) 113.04 cm^2
Is the image of an open set under a continuous mapping need not be open?
f(x) = x^{2} is a continuous function on the set R of real numbers, and (-1, 1) is an open set in R, but f(-1, 1) = [0, 1), and [0, 1) is not an open set in R. So, f is not an open function on R.
Why the set of irrational number is denoted by q'?
The set of irrational numbers is NOT denoted by Q.Q denotes the set of rational numbers. The set of irrational numbers is not denoted by any particular letter but by R - Q where R is the set of real numbers.
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