Question

Consider the given piece wise-function

Answer 1

9514 1404 393

Answer:

  a) -1

  b) 4A -3

Step-by-step explanation:

a) The function for x < 2 simplifies to ...

  f(x) = (x -3)(x -2)/(x -2)

  f(x) = x -3

Then f(2-) = 2 -3 = -1

The limit is -1.

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b) The value for x=2 is ...

  f(2) = A(2^2) -4(2) +5

  f(2) = 4A -3 . . . . the limit at x→2+