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 + 7x) = next, we find the right limit. lim x→6 + f (x) = lim x→6 + (x3 - cx)
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