Calculating Limit of Function – A ln function divided by x – Exercise 5965

Exercise

Evaluate the following limit:

limx0ln(a+x)lnax\lim _ { x \rightarrow 0} \frac{\ln (a+x)-\ln a}{x}

Final Answer


limx0ln(a+x)lnax=1a\lim _ { x \rightarrow 0} \frac{\ln (a+x)-\ln a}{x}=\frac{1}{a}

Solution

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