Harristinspadreean Harristinspadreean
  • 21-11-2016
  • Mathematics
contestada

Determine c so that f(x) is continuous on the entire real line if f(x)= x^2 when x<=3 and c/x when x>3 ...?

Respuesta :

Edufirst
Edufirst Edufirst
  • 04-12-2016
f(x) = x^2  .... if x ≤ 3

f(x) = c /x    ... if x > 3

Contidition of continuity => Lim f(x) when x approaches 3 from the right side equals f(3).

f(3) = x^2 = 9

Lim c/ x when x -> 3+  = c/3

Then c / 3  = 9 => c = 3*9 = 27

Answer: c = 27.
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