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Answer:
(b) see below
Explanation:
A removable discontinuity exists when the function is undefined at a point where the limit exists.
Choices A, C, D have no limit at x=7 (does not exist).
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Choice B can be simplified to ...
f(x) = (x -3)(x -7)/(x -7)
f(x) = (x -3) . . . . . . . x ≠ 7 (domain restriction; undefined at x = 7)
The discontinuity in this function can be removed by defining the function to be f(x) = x-3 everywhere.