Zeros of the 100th Laguerre polynomial

Problem 3

Laguerre polynomials $L_n$ for $n=1, 2, \ldots$ are defined by

$$ L_{n}(x)=\sum_{k=0}^{n}{\binom {n}{k}}{\frac {(-1)^{k}}{k!}}x^{k}. $$

Find the largest zero of $L_{100}$!

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