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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1
The interval of increase of the function F(x)=x−ex+tan⁡(2π7)F\left( x \right) = x - {e^x} + \tan \left( {\frac{{2\pi }}{7}} \right) is
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Correct option: B
(−∞,  0)\left( { - \infty ,\;0} \right)
Option B (π2\frac{\pi }{2}) is correct because it is the value of c within the given interval that satisfies Lagrange's Mean Value Theorem.

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