Question
Asked Sep 11, 2019
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Determine the values of x for which f(x) is discontinuous. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x) = 
 
4     if x ≤ 2
16x − 28    if  2 < x < 6
 
x
(x − 18)(x + 3)
  if x ≥ 6

x = 

 
 
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Expert Answer

Step 1

The given function is defined as,

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if x2 4 f(x)16x-28 if 2<x<6 [x(x-18)(x+3) if x26

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Step 2

The given function breaks at x=2 and x=6.

Evaluate the limit of the function at x=2.

Left hand limit at x=2 is,

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f(x) 4 LHL lim x2

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Step 3

Right hand limit ...

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RHL: lim f(x)16(2)-28 32-28 = 4

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Tagged in

Math

Calculus

Limits