GATE ME 2014 Set 2 — Question 15
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Engineering Mathematics → Single Variable Calculus → Maxima & Minima
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Question
The best approximation of the minimum value attained by for is _______
Correct answer
-1 to -0.94
Solution
Let for .Locating the minimum. Since decays, the lowest value occurs at the first trough of :With (third quadrant): , so .Value at the minimum.Later troughs are smaller in magnitude because of the factor , so this is the global minimum. Since oscillates rapidly and near , the minimum is close to ; the official answer accepts any value from to .Answer: (accepted range to )
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