Sunday, October 11, 2015

calculus - Find limxto0+fracln(x+1)x without using L'Hopital's Rule?

Without using L'Hopital's Rule, how does one find limx0+ln(x+1)x?



I was hoping to find a way using basic calc I, pre-differentiation knowledge and not knowing the definition of e--much like you can prove limxsinxx=1 using a geometric argument and the squeeze rule/theorem.

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