Answer to Question #157459 in Calculus for Bholu

Question #157459

Let x ∈ R such that

(2021 −2020/n)≤ x ≤( 2021 +2020/n)

for all positive integer n ≥ 10. Prove that x = 2021.


1
Expert's answer
2021-01-25T01:45:13-0500

limn>(20212020n)xlimn>(2021+2020n)\lim_{n->\infin}(2021-\frac{2020}n{})\le x\le\lim_{n->\infin}(2021+\frac{2020}{n})

2021x20212021\le x\le 2021

x=2021x=2021


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