Let a1,a2,.....,an be fixed real numbers such that f(x)=(x−a1)(x−a – InterviewSolution

1.	Let a1,a2,.....,an be fixed real numbers such that f(x)=(x−a1)(x−a2)....(x−an) What is limx→a1 f(x)? For a≠a1,a2,....,an compute limx→af(x).
Answer» Let $a_{1}, a_{2}, . . . . ., a_{n}$ be fixed real numbers such that $f (x) = (x - a_{1}) (x - a_{2}) . . . . (x - a_{n})$ What is $l i m_{x \to a_{1}}$ f(x)? For $a \neq a_{1}, a_{2}, . . . ., a_{n}$ compute $l i m_{x \to a} f (x) .$

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