Define fn (2) = 1-(1+4)= for n=1,2,3,... and let C = {z : [2]=1}. Prove that...

  

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Define fn (2) = 1-(1+4)= for n=1,2,3,... and let C = {z : [2]=1}. Prove that fn(2) converges uniformly to a limit on C = C-D(1, e) for any e >0. (Note that C-D(1, e):= Cn D(1,e).) Calculate and prove that lim 1-400 fr Sn(2)dz = ! - For n lim fa(z)dz Joxnxx 1 fx fn (z)dz lim whereas lim 11-900 £n(z)dz ‡ & lím fn(2)dz. + 87x Define fn (2) = 1-(1+4)= for n=1,2,3,... and let C = {z : [2]=1}. Prove that fn(2) converges uniformly to a limit on C = C-D(1, e) for any e >0. (Note that C-D(1, e):= Cn D(1,e).) Calculate and prove that lim 1-400 fr Sn(2)dz = ! - For n lim fa(z)dz Joxnxx 1 fx fn (z)dz lim whereas lim 11-900 £n(z)dz ‡ & lím fn(2)dz. + 87x