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Let a(1), a(2),…,a(n) be fixed real numb...

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_(xrarra_(1))f(x)` ? For some `a ne a_(1), a_(2), …..,a_(n)`, compute `lim_(xrarra)f(x)`.

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The correct Answer is:
`lim_(xrarra_(1))f(x)` exists for all `ane 0`.
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