please help on calculus questions

e are now faced with an interesting situation:

• When x=1 we don't know the answer (it isindeterminate)
• But we can see that it isgoing to be 2

We want to give the answer "2" but can't, so instead mathematicians say exactly what is going on by using the special word "limit"

Thelimitof(x²?1)(x?1)as x approaches 1 is2

And it is written in symbols as:

So it is a special way of saying,"ignoring what happens when we get there, but as we get closer and closer the answer gets closer and closer to 2"

For the piecewise linear function, find the following. [If an answer does not exist, enter DNE.) 9 x ifx 5 3 x} = {13 5x ifx: 3 [3} lim x} xI-E' E [b] |irn x] 143+ E (C) :ng x} Fur the piecewise linear Function, nd the follewlng. [If an answer does not exist, enter ENE.) 13' Jr Ifx 5 1E! x} = {x 19 lfx :- 13 (a) Ilm x} x- 13' E [b] \"Tr x] E (c) Imam E -uuu.......... l'IIlIlI-II'III m\"..- ._..-...u-...-.. .u- Human-nun...- u. I-lqu-IILIIII-u'I-ul .. u.nu.u.uu.u_u, an..." "nu...- .1. .u- u.uuu..u..._uuu. -'x-i-E Is the function continuous or discontinuous? 0 continuous a discontinuous I Where is it discontinuous? [IF an answer does not exi, enter DNE. Enter your answers as a comma-separated list.) Need Help? UHLHIIHIIIH WIIHLIIHI \"It: IUIILLIUII lb LUIILIIIuUuh UI HIhLUIILIIIuUl-Ih. 1| ulbLUllLllluUu-'J, :ILLt: WIIHI t: IL lb unauununuuua. 11 RM = 5x3 - 5;: Is the function continuous or discontinuous? PK k ,u continuous a discontinuous I Where is it discontinuous? (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.) "S Need Help?