[Solved] Let
Question: Let
\[f(x)=\left\{\begin{array}{cll} x^{2} & \text { if } & x \geq 0 \\ x & \text { if } & x<0 \end{array}\right.\]- Prove that the function \(f: \mathbf{R} \rightarrow \mathbf{R}\) is continuous.
- Is \(f\) differentiable on \(\mathbf{R} ?\) (you need to justify your answer).
Deliverable: Word Document 
(Solution Library) Use the mean value theorem to prove | sin x- sin
![[See] (a) Give the definition that a](/images/solutions/MC-solution-library-53080.jpg "[See] (a) Give the definition that a sequence a_n is a Cauchy")
[See] (a) Give the definition that a sequence a_n is a Cauchy
[Step-by-Step] (a) Let
![[Solution] Find an example of a sequence](/images/solutions/MC-solution-library-53082.jpg "[Solution] Find an example of a sequence of real numbers satisfying")
[Solution] Find an example of a sequence of real numbers satisfying
(Step-by-Step) Prove or give a counterexample for each statement.
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