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  • 02-06-2018
  • Mathematics
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What are the points of discontinuity? Are they all removable? Please show your work.

What are the points of discontinuity Are they all removable Please show your work class=

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carlosego
carlosego carlosego
  • 02-06-2018
For this case we have the following expression:
 y = (x-5) / (x ^ 2 - 6x +5)
 Rewriting the expression we have:
 y = (x-5) / ((x-5) (x-1))
 Therefore, discontinuity points are those that make the denominator zero:
 x = 5
 x = 1
 The point of removable discontinuity is:
 x = 5
 Answer:
 
Discontinuity:
 
x = 5
 
x = 1
 
Removable:
 
x = 5
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