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 2 years ago
Which of the following statements about the function y=f(x) graphed here are true, and which is false?
lim f(x) does not exist
x goes to 2
2) lim f(x) =2
x goes to 2
3) lim f(x) does not exist
x goes to 1
4) lim f(x) exists at every point Xo in (1,1)
X goes to Xo
5) lim f(x) at every point Xo in (1,3)
X goes to Xo
 2 years ago
Which of the following statements about the function y=f(x) graphed here are true, and which is false? lim f(x) does not exist x goes to 2 2) lim f(x) =2 x goes to 2 3) lim f(x) does not exist x goes to 1 4) lim f(x) exists at every point Xo in (1,1) X goes to Xo 5) lim f(x) at every point Xo in (1,3) X goes to Xo

This Question is Closed

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0that's the figure I posted the questions before posting the figure

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0what do you mean by second one? i am sorry, I did not get it

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0I am not getting why u guys are saying, "thesecond one"

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1The places where the function does crazy things like not having a value (indicated by an empty circle), or suddenly jumps from one yvalue to another are called discontinuities (because of them you can't draw the function in a nice line without pen leaving paper). Because they are slightly awry, these places don't have limits, as when x approaches them the function doe *not* settle down to a nice value (which is what the limit is, it asks: 'as x gets close to a, does y get closer to ONE value in particular?' the limit's value is actually this settling down value, call it b).

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1(1) is incorrect, as the function is nice at x=2 (3) is correct, same reason 4 and 5 are obviously incorrect

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Although I say that, I'm not sure about 3 as it may not have a limit approaching it from both sides, so 3 is probably incorrect

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0oh okay< and what about the 2nd one?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1It's the opposite of (1)

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0it means when x goes to 2 , y =s 2?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. I'm not sure whether it matters that there is no line right of that.

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0okay, just for clarification. f(x) means y right?

roselin
 2 years ago
Best ResponseYou've already chosen the best response.0okay, thank you so much.
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