Calculating Limit of Function – A multiplication of functions as x approaches infinity – Exercise 6042

Exercise

Evaluate the following limit:

limxx(ln(x+1)lnx)\lim _ { x \rightarrow \infty} x(\ln (x+1)-\ln x)

Final Answer


limxx(ln(x+1)lnx)=1\lim _ { x \rightarrow \infty} x(\ln (x+1)-\ln x)=1

Solution

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