Tuesday, January 31, 2017

calculus - Find the limit of limxto0fracln(1+ex)ln2x without L'Hospital's rule


I have to find: lim and I want to calculate it without using L'Hospital's rule. With L'Hospital's I know that it gives 1/2. Any ideas?


Answer



Simply differentiate f(x)=\ln(e^x +1) at the point of abscissa x=0 and you’ll get the answer. in fact this is the definition of the derivative of f!!


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