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## Homework Statement

3/ (x (ln (x+4) - ln (x))

as x goes to infinity.

so first i look at this i i thought its going to 0 cause x is gonna get larger at the bottom.

but then i see that the equation looks more like 3 / (x( ln ((x+1)/x))

ln ((x+1)/x) is going to 1. so that mean that ln 1= 0

so...

3 / x(0) = infinty???