f =ln (1+2/x) is concave if x<-2?explain
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Given `f=ln(1+2/x)` :
The domain of the function is `(-oo,-2)uu(0,oo)` . We are interested in the interval `(-oo,-2)` .
Note that the denominator is always positive. On the interval `(-oo,-2)` the numerator is always negative.
Thus the function is concave down for x<-2.
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