MATH 353: Analysis I Exercise 4 2020/21 1. Let : R+R be defined by f(u) = 4+2 and using the definition of continuity, prove that is continuous at ! 2. Let S : R-R be defined by f(x) = =+*+4 and using the definition of limit, prove that hus a limitat 1 3. Let : R - R be defined by f(ur) = de and using the definition of limit, prove that has a limit at 2 4. Let S R R be defined by f(x) = and using the definition of limit, prove that s has ne limitat (0,0) 5. Let !: R - Rºbe defined by s (Ir) and using the definition of limit, prove that s hins a limitat (0,0). 6. If the lima () = 1. prove that lim--oC) = 11 7. Let IR-R be defined by f(x) = and using the definition of limit, prove that 1 +