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Note that f is continuous on (−∞, 6) and (6, ∞). For the function to be continuous on (−∞, ∞), we need to ensure that as x approaches 6, the left and right limits match.

First we find the left limit.
lim
x→6−
f(x) =
lim
x→6−
(cx2 + 3x)

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