The value of is

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The value of lim⁡x→0px−qxrx−sx\lim_{x\to0}\frac{p^x-q^x}{r^x-s^x} is (1) 1−log⁡p1+log⁡p\frac{1-\log p}{1+\log p} (2) log⁡p−log⁡qlog⁡r−log⁡s\frac{\log p-\log q}{\log r-\log s} (3) log⁡p⋅log⁡qlog⁡r⋅log⁡s\frac{\log p\cdot\log q}{\log r\cdot\log s} (4) None of these

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