Decide which of the functions : [0,1] R with n = 0,1,2, defined by setting: := if 0 if x = 0 are Riemann integrable on [0,1]. more help please
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Originally Posted by thaopanda Decide which of the functions : [0,1] R with n = 0,1,2, defined by setting: := if 0 if x = 0 are Riemann integrable on [0,1]. more help please Is that ?
yeah, sorry, I forgot the other parenthesis
Originally Posted by thaopanda yeah, sorry, I forgot the other parenthesis Well is just a number. Call it . So you need to know for which n is integrable on . For , it's continuous and therefore integrable. For , you have one removable discontinuity (at ), so it's also integrable.
if it was , how would that change the problem?
Originally Posted by thaopanda if it was , how would that change the problem? is continuous for all . If , the function is still continuous on and is therefore integrable.
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