\"Just need the answer\" 2) Show that (a) verifying (1) in the definition above,

Question

"Just need the answer"

2)

Show that

(a) verifying (1) in the definition above, and then

Hint: Try combining the fractions and simplifying.

A function is said to have a removable discontinuity at if both of the following conditions hold:

1. is either not defined or not continuous at .
   
   
2. could either be defined or redefined so that the new function is continuous at .

Show that

has a removable discontinuity at by

(a) verifying (1) in the definition above, and then

(b) verifying (2) in the definition above by determining a value of that would make continuous at .

would make continuous at .

Hint: Try combining the fractions and simplifying.

The discontinuity at is actually not a removable discontinuity, just in case you were wondering.

f(x) x = a f x = a f(a) x = a f(x) = f(x) x = -5 f(-5) f(x) x = -5 f(-5) = f(x) x = a f x = a f(a) x = a f(x) = x = 0 f(0) f x = 0 f(0) = f x = 0 x = 1

Explanation / Answer

1.   f(-5) =8

2. f(0)= -1

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