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Консультация № 201146
11.06.2021, 00:32
0.00 руб.
1
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
найти сумму ряда
найти сумму ряда
Прикрепленные файлы:
Обсуждение
11.06.2021, 02:35
общий
это ответ
Здравствуйте, ushatalal!
Разложим на множители знаменатель дроби в выражении для общего члена ряда:
Разложим дробь
на простейшие методом неопределённых коэффициентов. Получим
Значит,
(Видно, что при
в алгебраической сумме, которая получается после раскрытия скобок, все слагаемые, кроме 
и 
компенсируются, давая в сумме ноль.)
Разложим на множители знаменатель дроби в выражении для общего члена ряда:
Разложим дробь
на простейшие методом неопределённых коэффициентов. ПолучимЗначит,
(Видно, что при
в алгебраической сумме, которая получается после раскрытия скобок, все слагаемые, кроме и компенсируются, давая в сумме ноль.)
Об авторе:
Facta loquuntur.
Facta loquuntur.
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