Let λ∈(0,1).\lambda \in (0, 1). Find the value of

lim⁡x→∞ln⁡(xλ(x+1)λ−1)λx+(1−λ)(x+1).\lim_{x \rightarrow \infty}\frac{\ln\left(\frac{x^{\lambda}}{(x + 1)^{\lambda - 1}}\right)}{\lambda x + (1 - \lambda)(x + 1)}.
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