Mathematics

Mathematics

Problem

The function h(x)=ln⁡x+1xh(x)=\ln x+\dfrac{1}{x} is continuous on [12,3]\left[\tfrac12,3\right]. At which xx-value does hh attain its absolute maximum on this interval? a) x=1x=1 b) hh has no absolute maximum  \,\,on this interval c) x=3x=3 d) x=2x=2

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