Waste less time on Facebook — follow Brilliant.

Continuity test

A function \(f : \mathbb{R} \rightarrow \mathbb{R}\) is defined by

\(f(x) = e^{-\frac{1}{x}}\) for \(x>0\), and \(0\) for \(x \leq 0\).

Then is \(f\) continuous and differentiable? Is \(f'\) continuous?

Note by Paramjit Singh
2 years, 8 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...