What is limit x tends to 0 log(1+x)/x to the base a?, Mathematics

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Here we will use the expansion method

Firstly limx-0 loga(1+x)/x

firstly using log property we get:

limx-0loga(1+x)-logx

then we change the base of log i.e limx-0 {loge(1+x)/logea}-logax

then adter using expansion of loge(1+x) we get answer " 1/logea


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