# You don't have to find the $$a'$$s

$\large x_n=\sum_{k=0}^{9}a_k n^k$

For the given values of the numbers $$a_k$$ for $$k=0,1,2,\cdots, 9,$$ it is true that $$x_n=e^n$$ for $$n=1, 2, \cdots, 10.$$ Find $$\left\lfloor x_{11}\right\rfloor.$$

Clarification: $$\displaystyle e = \lim_{n\to \infty} \left(1 +\dfrac1n \right)^n \approx 2.71828$$.

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