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JEE Math Practice Question

Let f : (–1, $$\infty $$) $$ \to $$ R be defined by f(0) = 1 and f(x) = $${1 \over x}{\log _e}\left( {1 + x} \right)$$, x $$ \ne $$ 0. Then the function f :

  1. A.decreases in (–1, $$\infty $$)
  2. B.decreases in (–1, 0) and increases in (0, $$\infty $$)
  3. C.increases in (–1, $$\infty $$)
  4. D.increases in (–1, 0) and decreases in (0, $$\infty $$)

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