68. For what values of x is g continuous? f(x)={0 if x is rational, x if x is irrational}

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68. For what values of x is g continuous? f(x)={0 if x is rational, x if x is irrational 68. For what values of x is g continuous? f(x)={0 if x is rational, x if x is irrational
67. For what values of x is f continuous? f(x)={0 if x is rational, 1 if x is irrational} 67. For what values of x is f continuous? f(x)={0 if x is rational, 1 if x is irrational}
67. For what values of x is f continuous? f(x)={0 if x is rational, 1 if x is irrational 67. For what values of x is f continuous? f(x)={0 if x is rational, 1 if x is irrational
If `f(x)={(x",", "if x is rational "),(-x",","if x is irrational"):}`, then If `f(x)={(x",", "if x is rational "),(-x",","if x is irrational"):}`, then
"`f(x)={(x"", if x is rational""),(0"", if x is irrational""):}, g(x)={(0"", if x is "`f(x)={(x"", if x is rational""),(0"", if x is irrational""):}, g(x)={(0"", if x is
39. If the function f is f(x)={0 if x is rational, 1 if x is irrational, prove that lim(x→0)f(x) DNE 39. If the function f is f(x)={0 if x is rational, 1 if x is irrational, prove that lim(x→0)f(x) DNE
Analysis - f(x) = x if x is rational; = 1 - x if x is irrational. Then f is not integrable on [0, 1] Analysis - f(x) = x if x is rational; = 1 - x if x is irrational. Then f is not integrable on [0, 1]
f(x)={[ x, if x is rational; 0, if x is irrational ] g(... f(x)={[ x, if x is rational; 0, if x is irrational ] g(...