Let f(x) = (x2 4x)/(2 7x + 12) . Determine the following limits: (a) limx3
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Question:
f(x) =
(x2 − 4x)/(2 − 7x + 12)
.
Determine the following limits:
(a) limx→3 f(x) and
limx→4 f(x).
(b) Hence, or otherwise, explain whether f(x) is a continuous function. If any discontinuities exist, state what type of discontinuities they are and then remove them if
possible.
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