Littlebird
  • Littlebird
Calculus: How do I know which theorems I am using?
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Littlebird
  • Littlebird
phi
  • phi
You only show Theorem 6. I assume there are more?
Littlebird
  • Littlebird

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phi
  • phi
Is there a theorem that says the square root or cube root function is continuous?
Littlebird
  • Littlebird
I am not sure...but it might be the composite theorems. Also, ignore the titles at the tops of the yellow boxes. (Theorem 6, Theorem 7, etc.) they are only there for organization. All of the theorems I have provided are for continuous functions.
phi
  • phi
For 31) I can imagine saying this: f(x) = x is continuous (we need a reason) f1(x) = x+2 is continuous : Let g(x)=2 f(x)+g(x) is continuous by Thm 6, part 1 f2(x) = sqr(x+2) is continuous (we need a reason, composite function ?) f3(x) = 1/sqr(x+2) is continuous. Let g(x)=1. then g(x)/f2(x) is continuous Thm 6, 5 for x>-2 That is my best guess as to how to do this
Littlebird
  • Littlebird
That happens to be the answer. I think I'm understanding this now. :)

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