bryandelgado2405 bryandelgado2405
  • 26-05-2021
  • Mathematics
contestada


Find the value of c such that lim f(x) exists.
f(x) = 4 – 0.5x. x < 2
√x+c. x > 2

Respuesta :

moxie218oxgk6e
moxie218oxgk6e moxie218oxgk6e
  • 26-05-2021

Answer:

c=7

Step-by-step explanation:

because the limit exists and this is a piecewise function, we can assume that f(2) is a removable discontinuity and that both equations should be the same.

we can equal them to each other, plug in 2 for x and solve for c.

root(x + c) = 4 - .5x

root(2 + c) = 4 - .5(2)

root(2 + c) = 3

2 + c = 9

c = 7

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