- #1

javier007

- 2

- 0

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