JEE Advanced 2017 Paper 1 Mathematics Q17

Mathematics

Problem

Answer Q.16, Q.17 and Q.18 by appropriately matching the information given in the three columns of the following table. Let f(x)=x+log⁡ex−xlog⁡exf(x)=x+\log_e x-x\log_e x, x∈(0,∞)x\in(0,\infty). Column 1 concerns zeros of f,f′,f′′f,f',f''; Column 2 concerns their limiting behavior at infinity; and Column 3 concerns increasing/decreasing behavior of ff and f′f'. Which of the following options is the only CORRECT combination?

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