## Question

###### Question 3- Prove that sin R = R is uniformly continuous. [You may assume without proof that Isin(z)| < Ixl and sin(x) sin(2) = 2 cos(%+2) sin(834) for all T,2 â‚¬ R] 6) Prove that r(z) = 1/z is not uniformly continuous on (0,00) , but is uniformly continuous on [1,0).

Question 3- Prove that sin R = R is uniformly continuous. [You may assume without proof that Isin(z)| < Ixl and sin(x) sin(2) = 2 cos(%+2) sin(834) for all T,2 â‚¬ R] 6) Prove that r(z) = 1/z is not uniformly continuous on (0,00) , but is uniformly continuous on [1,0).

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