Generalisation makes things better!

Calculus Level 3

\[\large \lim_{x \to \beta} \frac{1 - \cos (x^{2} + 56x +1)}{(x - \beta)^{2}}\]

Consider a polynomial \(x^{2} + 56x + 1\), let the roots of the polynomial be \(\alpha\) and \(\beta\).

Find the value of above expression.

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