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

1.	Let a1,a2,⋯,an be fixed real numbers and define a function f(x)=(x−a1)(x−a2)…(x−an)What is limx→a1f(x)? For some a≠a1,a2….an compute limx→af(x).
Answer» Let $a_{1}, a_{2}, \dots, a_{n}$ be fixed real numbers and define a function $f (x) = (x - a_{1}) (x - a_{2}) \dots (x - a_{n})$ What is $lim x \to a_{1} f (x) ?$ For some $a \neq a_{1}, a_{2} \dots . a_{n}$ compute $lim x \to a f (x)$ .

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