Example 6.2.4(b):
| f(xn) | | xn| <That proves that the sequence of {xn)} converges to 0 = f(0), which proves that the function is continuous at zero.
As an exercise, prove that the function is not continuous for any other x.
| f(xn) | | xn| <That proves that the sequence of {xn)} converges to 0 = f(0), which proves that the function is continuous at zero.
As an exercise, prove that the function is not continuous for any other x.