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Let a1,a2,.....,anbe fixed real numbers...

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->a_1)f(x)`? For some `a!=a_1,a_2,.....,a_n`, compute `(lim)_(x->a)f(x)`

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To solve the problem step by step, we need to find two limits for the function \( f(x) = (x - a_1)(x - a_2) \cdots (x - a_n) \). ### Step 1: Compute \( \lim_{x \to a_1} f(x) \) 1. **Substitute \( f(x) \)**: \[ f(x) = (x - a_1)(x - a_2) \cdots (x - a_n) \] ...
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