A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.
A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.
Given
we know for any given function g(x) limit at given point x=h exist only
if,
thus, we are finding left hand limit and right hand limit one by one at x=1, if both are coming same then limit will exist other limit of given function will not exist
so,
Now finding right hand limit also
here
L.H.L != R.H.L.
hence, for given function limit at x=1 doesn't exists.