anonymous
  • anonymous
Another Help here :(
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
find the constant a, or the constants a and b, such that the function is continuous on the entire real line this is the problem and I'll write the equation soon.
anonymous
  • anonymous
|dw:1378264503076:dw|
anonymous
  • anonymous
haha sorry about this ugly calligraphy :)

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anonymous
  • anonymous
(x^2 - a^2)/(x-a) simplified to x+a doesn't make much sense for me
anonymous
  • anonymous
well, that's what the question is, @nphuongsun93
anonymous
  • anonymous
as previously shown, and since x does not equal to (a) in the the first definition, we can simplify the function g(x) when it's not (a) to x+a , now :\[\lim_{x \rightarrow a}x+a=a+a=2a\] also we know that the function is continous, so \[\lim_{x \rightarrow a}g(x)=g(x)\rightarrow 2a=8\rightarrow a=4\]
anonymous
  • anonymous
ooh got it Thank you @Ahmad1 :)

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