Q14 of 26 Page 1

Evaluate :

To find:


We have,


Let f(x) = x3 – x = x(x2 – 1) = x(x – 1)(x + 1)


The signs for f(x) for the different values are shown in the figure below:


11


f(x) > 0 for all x (-1, 0) U (1, 2)


f(x) < 0 for all x (0, 1)


Therefore,












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