- #1
mariush
- 28
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Homework Statement
f:R->R is defined as f(x) when x[itex]\neq 0[/itex], and 1 when x=0.
Find f'(0).
Homework Equations
The Attempt at a Solution
Since I can prove that f is continuous at x=0, does that allow me to take the the limit of f'(x) as x-> 0, which is 0? It is quite easy to see that the correct answer must be f'(0)=0, but do i break any rules if I first differentiate f(x) and then look at the limit as x-> 0?
Thanks!