hnaiyzeihehtnetion: { z+9 If a\": 2 1,1" 2 z + E if .1: 2 2 Your classmates may be analyzing different functions, so in your initial post in Bn'ghtspace he sure to specify the function that you are analyzing. Part 1: Is f[z} continuous at z = 2? Explain why or why not in your Discussion post @i Yes Chloe Hint: In order for f (to) to be continuous at z = 2, the limits of f{:|:} from the left and from the right must both exist and be equal to 11:2]. Part 2: Is 1\" (z) differentiable at z = 2? Explain why or why not in your Discussion post. @i Yes Chloe Hint: Similarly to continuity, in order for f (z) to he differentiable at z = 2, fix) must be continuous at z = 2 and the limits ofthe differenoe quotient 2+hJ.f(2) . . T from the left and fnum the nght must both exist and be equal to each other. Feedback For continuity, calculate 11:2}, the left hand limit lim 3 + 9 the right hand limit ljm 1:2 2 l B l 2 :I:3-2+ 13-2 Fdr ditrerenhatziiity, you need to compute the left hand limit of L312} with f (z) = %z + 9 end the right hand limit of L312} with 3 1' f[::} = 1E2 z + B and see Iiiihether they are the same or not. You can use that both f [2} = i: + 9 and _f (z) = 1x2 :..- + 8 are dilTerentialJle functions and apply our rules for deriyatiyes for these two functions {individually}