Check the continuity of the function f(x)=1, if 'x' is rational & f(x)=0, if 'x' is irrational

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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
Show that the function `f:R - gtR:f(x)={1`, if x is rational and -1, if x is irrational is ma Show that the function `f:R - gtR:f(x)={1`, if x is rational and -1, if x is irrational is ma
Discuss thecontinuity of function f(x)={{:(1,if x is rational),(0,if x is irrational):} | CLAS... Discuss thecontinuity of function f(x)={{:(1,if x is rational),(0,if x is irrational):} | CLAS...
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}
Continuity | f(x)=1 when x is rational and f(x)=0 when x is irrational is not continuous on R Continuity | f(x)=1 when x is rational and f(x)=0 when x is irrational is not continuous on R
3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits | Calculus 3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits | Calculus
Examine the continuity of the function f(x) = x if x is rational, 1/x if x is irrational Examine the continuity of the function f(x) = x if x is rational, 1/x if x is irrational
"`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