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ote that f is continuous on (, 4) and (4, ). For the function to be continuous on (, ), we need to ensure that

ote that f is continuous on (, 4) and (4, ). For the function to be continuous on (, ), we need to ensure that as x approaches 4, the left and right limits match. First we find the left limit.

limx4f(x)=limx4(cx2 + 7x)=

Next, we find the right limit.

limx4+f(x)=limx4+(x3 cx)=

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