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anonymous
 one year ago
Find the indicated limit, if it exists.
@phi @solomonzelman @jdoe0001 @paki @aaronq @zepdrix @e.mccormick @thomaster
anonymous
 one year ago
Find the indicated limit, if it exists. @phi @solomonzelman @jdoe0001 @paki @aaronq @zepdrix @e.mccormick @thomaster

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well... find the onesided limits for the piecewise function if the \(\bf \lim\limits_{x\to 0^}\textit{ is equal to }\lim\limits_{x\to 0^+} \\ \quad \\ then\qquad \lim\limits_{x\to 0}\ exist\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \lim\limits_{x\to 0}\qquad \begin{cases} 7x^2&x<0\quad \textit{left side, thus } \lim\limits_{x\to 0^}\\ 7&x=0\\ 10x+7&x>0\quad \textit{right side, thus } \lim\limits_{x\to 0^+} \end{cases}\) that is, if the leftside of the "limit" matches the rightside of the "limit" in this case those 2 equations, (notice the limit occurs when "x" approaches 0) then the doublesided limit exist and is THAT

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0very simple if you simply set x = 0 for those equations btw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont get it @jdoe0001 can u help me step by step?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would the answer be 7? @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0.. how did you get 7 though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i set replaced x with 0 @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0am i right or wrong? @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well... is a piecewise, so there are 3 equations there.. so... which one did you set to 0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0all of them @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0am i wrong is the answer not 7? @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \lim\limits_{x\to 0^}\quad 7x^2=?\impliedby \textit{left side limit} \\ \quad \\ \lim\limits_{x\to 0^+}\quad 10x+7=?\impliedby \textit{right side limit} \) say... what would you get for those two?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i would get 7 @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok... so, the leftsided limit gives 7 the rightsided limit gives 7 then \(\bf \lim\limits_{x\to 0} \implies 7\) :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help me with another? @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sure, post anew, more eyes :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thus if I dunno, someone else may help
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