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anonymous
 one year ago
Find the indicated limit, if it exists.
anonymous
 one year ago
Find the indicated limit, if it exists.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0limx→9f(x),f(x)=[x+927−xx<9x≥9]

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1have you tried a similar question before ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not familiar with matrices in this type of problem

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1Know about left hand and right hand limits?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1so could you find those limits for f(x) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't really know how to do this with matrices.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1its not a matrix :) its a piecewise function, when x<9, f(x) = x+9 when x>= 9, f(x) = 27x

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1how did you find out that the limit = 18 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0As x approaches nine, f(x) approaches 18. 9+9=18

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense, or am I completely wrong?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1that makes onethird sense :) let me explain,

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1so, we need to find whether x approaches same number when x<9, x=9, x>9 if for all these 3 conditions, f(x) approaches same number, then you limit exist! and the limit value = that number.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1for x>9, we use x>=9 function which is 27x so, 27 9 =18 for x = 9, we use x>=9 again, which is 27x = 18

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the limit does exist?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1for x<9, we use x+9 function so 9+9 = 18 so we indeed get 18 for all 3 conditions! hence limit exist and is = 18 :)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1hope you can try next problem on your own now :) and welcome ^_^
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