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hawkfalconBest ResponseYou've already chosen the best response.1
\[f(x) = \left[\begin{matrix}x^21 & x<1 \\ 4x & x>=1\end{matrix}\right]\]
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
I can do the lim, but how do i do it on that:O it lin x>1
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
\[\lim_{x \rightarrow 1}\]
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
dw:1346015959313:dw Your graph will look something like this
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
What is the limit for the function x^2  1 as it approaches 1?
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
Hmm, not quite. You want to approach x = 1.
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
Follow the graph of x^2 1 as it approaches x =1. What is the yvalue?
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
Sorry *.* i'm not very good a limits:(
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
Yes :) then follow the graph of 4x as it approaches x=1. You start from the right hand side and move back till you reach x=1.
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
What would you say the limit was for that equation?
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
Ok, are the two limits for both equations the same?
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
Nope. Oh:3. Dur dur. You compare the 2 equations:3
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
What is your final answer for the problem?
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
@Denebel one last Q. It also says to find x>+ and . In this cast, thats DNE too. right?
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
Nope, as x>+ means when x approaches a number (in this case, 1) from the right hand side. x> means when x approaches (1) from the left hand side.
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
But those are not the same for either left or right.
 one year ago

DenebelBest ResponseYou've already chosen the best response.1
You only need to make sure they are the same when they don't give you a +/ Since the next part of the problem asks you to state the limit when it comes from +, then when it comes from  you say what you told me before. So when x> 1+ is when it approaches x=1 from the right side. You only look at the function 4x in this case. x> 1 is when it approaches x=1 from the left side, so look at the function x^2  1
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
Oh so you only look at each problem separately then :O
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
so lim x>1 = 0 and + = 3 and x> = DNE
 one year ago

hawkfalconBest ResponseYou've already chosen the best response.1
<3 Thank you so much!
 one year ago
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