so in short, sin(1/x) is NOT continuous even if it is defined by f(x)=0 when x=0? and xsin(1/x) IS continuous if defined by f(x)=0 when x=0? am I right or wrong...sorry I have the same problem understanding this
PLEASE help me. I need to analyze the continuity of the piecewise function
f(x) = { sin(1/x) when x is not = to 0
_____{ 0_____ when x = 0
so i know sin(1/x) doent have a value at 0 but the second part of the function places the value of 0 at 0...BUT are both parts connected without any...