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anonymous
 one year ago
Find the indicated limit, if it exists.
lim x>2 {x+3 x< 2 }
{3x x>_ 2}
anonymous
 one year ago
Find the indicated limit, if it exists. lim x>2 {x+3 x< 2 } {3x x>_ 2}

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Plug in \(x=2\) to both cases and see what happens.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@wio you get 5 and 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know where I got \(2\) from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the limit as x approaches 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But there is another reason as well, both cases are split on 2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we need to see if both cases approach 2 on both sides.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The limit only exists if both sides approach the same number. You can graph it to see as well.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would you graph it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434583292694:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does it make sense how I graph it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea, can you help me with another one?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lim x> 0 {5x9 x<0} { l 2x l x>_0}

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434583971277:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, that looks right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You don't have to graph it though, you can just plug in 0 and if both cases have a different value, then the limit doesn't exist.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434584238267:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lim x>5 { 5x, x<5} { 8 , x=5} {x+3, x>5}

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It is DNE, though the graph isn't quite right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.08 and x+3 meet at x=5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok thank you so much!
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