[See] Use the mean value theorem to prove | sin x- sin y|
Question: Use the mean value theorem to prove
\[|\sin x-\sin y| \leq|x-y|\]
Deliverable: Word Document 
![[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.
![[See Steps] Let f: R \rightarrow R](/images/solutions/MC-solution-library-53084.jpg "[See Steps] Let f: R \rightarrow R . Prove that f is continuous")
[See Steps] Let f: R \rightarrow R . Prove that f is continuous
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