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clara1223
 one year ago
find the limit as x approaches 121 of (sqrt(x)11)/(x121). I have already solved and gotten 1/22 which was right but I can't remember how and can't find my notes. All I need is an explanation
clara1223
 one year ago
find the limit as x approaches 121 of (sqrt(x)11)/(x121). I have already solved and gotten 1/22 which was right but I can't remember how and can't find my notes. All I need is an explanation

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clara1223
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 121}\frac{ \sqrt{x}11 }{ x121 }\]

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2can we factor the bottom?

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0if x was squared then yes but it's not.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2oh but it is ... let a^2 = x, then a = sqrt(x)

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0wait I don't understand that, can you explain it further?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2also, as a general rule, if the top and bottom have the same zero ... the zeros cancel out due to a common factor.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2at x=11, we have 0/0 right?

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0do you mean at x=121?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2its just a substitution ... if the x does not look like its a square ... replace it by something that looks squarey yeah, x = 121 ... brain is faster then my fingers sometimes

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0how would you go about replacing it with something that looks "squarey"?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2if we let x=a^2, and take the sqrt of each side ... sqrt(x) = a a11  a^2  121 now it looks squared to me

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0Oh! that helps a lot. So then can factor the denominator to (a+11)(a11) and cancel a11 from both sides so im left with 1/a+11?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2your notes might say; divide it al by the highest power of x tho

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2and since sqrt(x) = a sqrt(121) = 11 and we get your coveted 1/22

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2factoring seems to be the best route to me ... and youre welcome again :)
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