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

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 `f(x)`? For some `anea_(1),a_(2),.........a_(n)`, compute `lim_(Xrarr1) ` f(x)

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To solve the problem, we need to evaluate the limit of the function \( f(x) = (x - a_1)(x - a_2) \cdots (x - a_n) \) as \( x \) approaches \( a \), where \( a \) is not equal to any of the fixed real numbers \( a_1, a_2, \ldots, a_n \). ### Step-by-Step Solution: 1. **Define the Function**: The function is given as: \[ f(x) = (x - a_1)(x - a_2) \cdots (x - a_n ...
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