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QUESTION

Define a function ff as follows: when x<2x<2, f(x)=3x+4f(x)=3x+4; when x>2x>2, f(x)=x2+cx+cf(x)=x2+cx+c; f(2)=−100f(2)=−100. for what value(s) of c does the limit of ff exist at x=2x=2?

Define a function ff as follows: when x<2x<2, f(x)=3x+4f(x)=3x+4; when x>2x>2, f(x)=x2+cx+cf(x)=x2+cx+c; f(2)=−100f(2)=−100. for what value(s) of c does the limit of ff exist at x=2x=2?

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