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JEE Math Practice Question

The interval in which the function $$f(x)=x^x, x>0$$, is strictly increasing is

  1. A.$$(0, \infty)$$
  2. B.$$\left(0, \frac{1}{e}\right]$$
  3. C.$$\left[\frac{1}{e^2}, 1\right)$$
  4. D.$$\left[\frac{1}{e}, \infty\right)$$

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