Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Ans: is continuous on its domain (continuous for all )
Hence, is not defined at
Let be any real number except
assume that is less than or equal to
is continuous at
The function is continuous at
Thus, we can write that
is continuous for all localid="1648052075809"
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