Interactive Real Analysis
- part of Examples 6.3.4(b):
Prove that h(x) has a jump discontinuity at x = 0,
and draw the graph of h(x)
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It is easy to see that the limit of h(x) as x
approaches 0 from the left is -1, while the limit
of h(x) as x approaches 0 from
the right is +1. Hence, the left and right handed limits exist
and are not equal, which makes x = 0 a jump discontinuity for
this function.
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