Срочно!!!Вычислить:1/1*2 + 1/2*3 + 1/3*4+ ... + 1/2018*2019. Created by STALKERprofi. matematika-ru

Ответ:Пошаговое объяснение:

2018*2019...

STALKERprofi @STALKERprofi

October 2021 1 14 Report

Срочно!!!
Вычислить:
1/1*2 + 1/2*3 + 1/3*4+ ... + 1/2018*2019

Answers & Comments

o12032114

Ответ:

$\frac{1}{n(n+1}=\frac{1}{n}-\frac{1}{n+1}\\S = \frac{1}{1*2} +\frac{1}{2*3}+...+\frac{1}{2018*2019}\\S = (\frac{1}{1}-\frac{1}{2}) +(\frac{1}{2}-\frac{1}{3})+...+(\frac{1}{2018}-\frac{1}{2019})\\S = 1-\frac{1}{2019} =\frac{2018}{2019}$

Пошаговое объяснение:

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STALKERprofi August 2022 | 0 Ответы

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