Understand the problem
- is always diffrentiable.
- there exist atleast one such continuous but non-differentiable at exactly points and
- there exist atleast one such $f$ continuous s.t
- It is not possible to find a sequence of reals diverging to infinity s.t .
Source of the problem
Start with hints
for sure option 1) is not true any will give us the counter.
whenever . What does it say about 3) and 4)?
So (2) is the only option left.
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