knwood7002 knwood7002
  • 10-09-2019
  • Mathematics
contestada

If lim f(x) - 4/(x - 4) = 11, find lim f(x).

Respuesta :

jorgezarate
jorgezarate jorgezarate
  • 14-09-2019

Answer:

lim f(x)=(11x-40)/(x-4) // for all x's, except x=4

lim f(x) ≈ ∞    // if x=4

Step-by-step explanation:

lim f(x) - 4/(x - 4) = 11

lim f(x) = 11 + 4/(x - 4)= (11x-40)/(x-4)

at x=4, there is a indetermination point, the function tends to infinity at that point

So:

lim f(x)=(11x-40)/(x-4) // for all x's, except x=4

lim f(x) ≈ ∞    // if x=4

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