Divam Kumar posted an Question
December 01, 2020 • 20:17 pm 30 points
  • IIT JAM
  • Mathematics (MA)

16. which of the following is true very uniformly convergent sequence is pointwise conveiecn (b) eve pointwise convergent sequence is uniformly convergent. (c)e

16. Which of the following is true Very uniformly convergent sequence is pointwise conveiecn (B) Eve pointwise convergent sequence is uniformly convergent. (C)Every sequence has a convergent subsequence. (D) None of these and g are bounded and integrable functions on [a, b] then Fj-8i integrable over [a, b] and (A) Fde=-f dr+gds (8)Fd rd-d (C)Fdr-rd- gd (D) None of these 18. Let {f,} be a sequence of functions such that lim S,x) = f(x), x e [a, b] no, and let M,=sup 1S,x)-fa)|. xe[a, b] Then S f uniformly on [a, b] if and only if: (A) M, 0 asnco (B) M, 1 as n0o (C) M,-1 as n 0o (D) None of these

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