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Algebra of continuous functions
ALGEBRA OF CONTINUOUS FUNCTIONS
Date of upload
Jul 29, 2019 12:00:00 AM
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Let C([0, 1]) be the real vector space of all continuous real valued functions on [0, 1], and let T be the linear operator on C([0, 1]) given by (Gate 2018 engineering mathematics)
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Consider the following statements : 1. The function f(x) = ∛x is continuous at all x except at x = 0 2. The function f(x) = [x] is continuous at x=2.99 where [.] is the bracket function Which of the above statement is are correct ?
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Algebra of continuous functions