Let a1, a2, ..., an be fixed real numbers and define a function f(x) – InterviewSolution

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1.	Let a1, a2, ..., an be fixed real numbers and define a function f(x) = (x−a1)(x−a2)...(x−an). What is limx→a1 f(x)? For some a ≠a1,a2...an, compute limx→a f(x).
Answer» Let $a_{1}$ , $a_{2}$ , ..., $a_{n}$ be fixed real numbers and define a function f(x) = $(x - a_{1}) (x - a_{2}) . . . (x - a_{n})$ . What is $lim x \to a_{1}$ f(x)? For some a $\neq a_{1}, a_{2} . . . a_{n}$ , compute $lim x \to a$ f(x).

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