The superlimit!

Calculus Level 5

Evaluate

100(limx0(1ln(1+x)+1ln(1+x2x))).\left\lfloor 100\left(\lim_{x \rightarrow 0}\left(\frac{1}{\ln(1+ x)} + \frac{1}{\ln ( \sqrt{1+x^2} - x)}\right)\right)\right\rfloor.

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