Example 6.2.4(b):
![](../graphics/fcont1.gif)
![](../../symbols/epsi.gif)
| f(xn) |That proves that the sequence of {xn)} converges to 0 = f(0), which proves that the function is continuous at zero.| xn| <
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As an exercise, prove that the function is not continuous for any other x.
| f(xn) |That proves that the sequence of {xn)} converges to 0 = f(0), which proves that the function is continuous at zero.| xn| <
![]()
As an exercise, prove that the function is not continuous for any other x.