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Continuity, differentiability questions: • Give an example of a function f: R → R that is...

Continuity, differentiability questions:

• Give an example of a function f: R → R that is continuous everywhere on its domain but has at least one point at which it is not differentiable.

• Give an example of a function f: R → R that is not continuous at 0.

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Answer #1

1. f:R->R where f(x)=|x|

2. f:R->R where f(x)=1/x

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