## Question

###### Conslder the following piecewise function: 2 +I I <-3 X(c+1)2 ~3<1< -1 1 -1<I<1 f(s) 1 <1<4 I =write the answers in the table; do your scratch work Fill out the table below. Only On another sheet of paper: function g(z) , defined piecewise, with the following properties: (b) Come up with 0 new has jump discontinuity at I has & removable discontinuity at I = 1, has an infinite discontinuity at = = 3, and is continuous everywhere else_ A" ( ' | 1 ' 1 0 "

Conslder the following piecewise function: 2 +I I <-3 X(c+1)2 ~3<1< -1 1 -1<I<1 f(s) 1 <1<4 I = write the answers in the table; do your scratch work Fill out the table below. Only On another sheet of paper: function g(z) , defined piecewise, with the following properties: (b) Come up with 0 new has jump discontinuity at I has & removable discontinuity at I = 1, has an infinite discontinuity at = = 3, and is continuous everywhere else_ A" ( ' | 1 ' 1 0 " 26'114/" ' [ L~ : e eligri' ' "else colaoi hl 40 0 FW6;"1 4: '^* aiala c =-3 c=-1 c =1 c =4 lim f (z) I-+ct lin f(c) 1-C7 lim f(c) TeU Jesaul < ; 17C 6 >1- "l &; * i' Jarkw %eudicsje?. f(c) Is f continuous at c? If not what kind of discontinuity is it

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