- #1
javier007
- 2
- 0
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 gaps, holes, or jumps in bewteen? in other words is it continuous or not?
I would appreciate it A LOT if you could explain it to me why or why not
thanks
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 gaps, holes, or jumps in bewteen? in other words is it continuous or not?
I would appreciate it A LOT if you could explain it to me why or why not
thanks