If f (x) = _ t (1+ x)^ t -1 (1+ x)^ t +1 , then range of f (x) is

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (x) = \(\lim _{t \rightarrow \infty} \frac{(1+\sin \pi x)^{t}-1}{(1+\sin \pi x)^{t}+1},\)then range of f (x) is
  1. {–1, 1}
  2. {0, 1}
  3. {–1, 1}
  4. {–1, 0, 1}

Answer

(D) –1, 0, 1

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