Understand the problem
Consider the following statements:
- \(f'(0)\) exists and is equal to \(1\).
- \(f\) is not increasing in any neighborhood of \(0\)
- \(f'(0)\) does not exist.
- \(f\) is increasing on \(\Bbb R\).
Source of the problem
Introduction to Real Analysis by Donald R. Sherbert and Robert G. Bartle
Start with hints
Can you comment something about ii)?
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