Let f: R → R be a function such that

Question:

Let $f: R \rightarrow R$ be a function such that $|f(x)| \leq x^{2}$, for all $x \in R$. Then, at $x=0, f$ is:

  1. Neither continuous nor differentiable 

  2. differentiable but not continuous

  3. continuous as well as differentiable

  4. continuous but not differentiable

Correct Option: , 3

Solution:

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