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anonymous
 one year ago
Continuity and Onesided limits
anonymous
 one year ago
Continuity and Onesided limits

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ \lim_{x \rightarrow 1} f(x) (1 \frac{ x }{ 2 })\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just to check, first, is this meant to be a onesided limit? And if so, which side of 1 are we approaching from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0here let me take a pic of the problem in my textbook

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, sure. (If it's any easier, what I'm basically asking is whether there's a little + sign or a little  sign next to the "x>1")

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, were taking the limit as x gets close to 1. So let's stick that into the equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://i.imgur.com/hlnt6Lg.jpg number 26

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, the bit inside the # symbol should always be positive, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean, it's an absolute value symbol, if I understood right. So 5 = +5, and 7 = +7.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In this case, you'd want x/2 to be positive

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did you click the link? it isn't an absolute value sign

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its alright, kinda hard to input calc equations through text, not all the symbols are included

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Looks like it's the floor function then, which takes whatever is inside it and rounds it down to the nearest integer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so if x>1 then x/2 becomes 1/2, which becomes 1 once you apply the floor function, and then you have 1  (1) which is 2. Does that sound sensible?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how does 1/2 become 1 instead of 0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Looking at that photo again, I'm a bit confused because that notation is a bit different to what I normally use for the floor function. Maybe we want roundtothenearestinteger, rather than rounddowntothenextinteger?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it because it is as x approaches 1 from the right and left, so i wouldn't include 0 or 2 ? other wise it would be, as x approaches 0 from the right and as x approaches 2 from the left right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm. I'm a bit confused, to be honest. I think I'd better admit that right now rather than accidentally give you the wrong answer.
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