Ashwini posted an Question
February 04, 2021 • 22:46 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let (f) be the sequence in x defined by f, (x) = (1 - x)x* for x e [0, 1] and k 21. wn the following is true ? g) is convergent in x. (a) (b) g) is divergent in

Let (f) be the sequence in X defined by f, (x) = (1 - x)x* for x e [0, 1] and k 21. Wn the following is true ? G) is convergent in X. (A) (B) G) is divergent in X. (C) G) is converges to a non-zero function in X. (D) None of these h if

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    Deepak singh 1 best-answer

    yes , sequence is convergent in X . as limit n tends to infinity fn(x) tends to 0 which belongs to X . So , option a should be correct

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