Lectures On the Theory of Functions of Real Variables 2
The book Lectures On the Theory of Functions of Real Variables 2 was written by author James Pierpont Here you can read free online of Lectures On the Theory of Functions of Real Variables 2 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Lectures On the Theory of Functions of Real Variables 2 a good or bad book?
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For let ^ ^ . /^ 71X \ nX . r 1 Jn yx) = c\\ — z. + z. sm Now by Ex. 1, 1 • , . f 0, for a; > 0, ^""^"^">=U,for.= 0; while T , . . sin -. for 2; > 0, [ 0, for x=0. As each /„ is continuous in 21, and lim/„(2^) =f(x) in 21, we see its class is (a;) = lim 0„(a;). 472 DISCONTINUOUS FUNCTIONS Here ^ is a continuous function in 51 = ( — oo, oo). Its class is thus in 5t. On the other hand, the functions
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