anonymous
  • anonymous
Find the indicated limit, if it exists.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
limx→9f(x),f(x)=[x+927−xx<9x≥9]
anonymous
  • anonymous
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hartnn
  • hartnn
have you tried a similar question before ?

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anonymous
  • anonymous
No.
anonymous
  • anonymous
I'm not familiar with matrices in this type of problem
hartnn
  • hartnn
Know about left hand and right hand limits?
anonymous
  • anonymous
Yeah, I guess
hartnn
  • hartnn
so could you find those limits for f(x) ?
anonymous
  • anonymous
I don't really know how to do this with matrices.
anonymous
  • anonymous
IS the limit 18?
hartnn
  • hartnn
its not a matrix :) its a piecewise function, when x<9, f(x) = x+9 when x>= 9, f(x) = 27-x
hartnn
  • hartnn
how did you find out that the limit = 18 ?
anonymous
  • anonymous
As x approaches nine, f(x) approaches 18. 9+9=18
anonymous
  • anonymous
Does that make sense, or am I completely wrong?
hartnn
  • hartnn
that makes one-third sense :) let me explain,
anonymous
  • anonymous
Gladly.
hartnn
  • hartnn
so, 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
  • hartnn
for x>9, we use x>=9 function which is 27-x so, 27- 9 =18 for x = 9, we use x>=9 again, which is 27-x = 18
anonymous
  • anonymous
So the limit does exist?
anonymous
  • anonymous
and it is 18
hartnn
  • hartnn
for 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 :)
anonymous
  • anonymous
Thank you.
hartnn
  • hartnn
hope you can try next problem on your own now :) and welcome ^_^

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