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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1we have to check to see if a limit exists at a bunch of numbers right?\[\{2,1,0,1,2,3,4,5\}\] so it is going to take a while to do them all

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\(2\) is out, there is no limit there because the function does not even exist to the left of \(2\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1how about \(1\)? does the function have a limit as \(x\to 1\)?

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0@misty1212 no it doesn't

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0But doesn't the hole mean it's discontinuous at that point?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1it is not continuous at \(x=1\) but it does have a limit

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1right, but it is not asking for "continuous" it is asking if the limit exists

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1definitely continuous and so has a limit at \(x=0\) right?

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0yep at 0 the limit is 0

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0there is no limit at 3

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1no there is no limit at 3

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1at 2 it is not 2, it is somewhat less than 2, but the limit does exist there

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0it does exist at four as well

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0so overall there is a limit at 1,0,2, and 4

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0Alright, thank you for the help, sorry i took so long responding my internet went out!

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\[\color\magenta\heartsuit\](you did most of it yourself!)
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