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ExamsGATEEngineering Mathematics

For real values of x, the minimum value of the function f(x) = exp(x) + exp(−x) is

  1. 2
  2. 1
  3. 0.5
  4. 0

Correct answer: 2

Solution

The function f(x) = exp(x) + exp(−x) represents the sum of an exponential function and its reciprocal, which reaches its minimum value when both terms are equal, specifically at x = 0, yielding f(0) = 2.

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