Limits at its best

Calculus Level 5

limx( cos(2(ln(x1)ln(x+1))) )(x+1)2= ? \displaystyle \lim_{x \to \infty} \Bigg ( \ \cos \bigg ( 2 ( \ln(x-1) - \ln(x+1) ) \bigg ) \ \Bigg)^{(x+1)^2 } = \ ?

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