Give an example for each of the following. DO NOT justify your answer. (i) [2 points] A sequence {an} of negative number

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Give An Example For Each Of The Following Do Not Justify Your Answer I 2 Points A Sequence An Of Negative Number 1 (62.27 KiB) Viewed 49 times

Give an example for each of the following. DO NOT justify your answer. (i) [2 points] A sequence {an} of negative numbers such that ∞ n=1 an (ii) [2 points] An increasing function ƒ : -0-x -∞, lim f(x) = 1, n=1 ∞. -1, 1)→ R such that lim f(x) = -1. x →0+ (iii) [2 points] A continuous function ƒ : (−1, 1) → R such that ƒ(0) = 0, _ƒ'(0+) = 2,_ƒ′(0−) = 3. (iv) [2 points] A discontinuous function f : [−1, 1] → R such that ſ'¹₁ ƒ(t)dt = −1.