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Рассмотрим, например, задание пункта 1. Учитывая, что
заданное выражение не будет иметь смысла, если в нём будет содержаться запрещённая в математике операция -- деление на ноль. Приравняйте знаменатель выражения нулю, то есть решите уравнение
Спасибо. Вы очень хорошо обьяснили. Проблема в том, что полученные мной при решении ответы не совпадают с ответами в конце учебника (там даны ответы на 1, 3, 5 задания). В 1 задании ответ сошёлся, в 3 и 5 - нет. У меня в 3 получается (пи*n)/5 (в учебнике - (пи*n)/10). В 5 у меня получается ((4*пи*n)/3)-4 (в учебнике - ((2*пи*n)/3)-4). Не могу понять, в чём ошибка.
[offtop]Я прошу Вас впредь, если Вы создаёте консультацию, описывать проблему конкретно. Например, в данном случае Вам нужно было привести свои решения заданий, на которые Вы получили ответы не такие, как в книге, и попросить проверить. А Вы зачем-то привели все задания...[/offtop]
В данном случае нужно решать два уравнения, потому что если то выражение не имеет смысла ввиду деления на ноль. Если же то не имеет смысла выражение (а с ним и выражение ) опять-таки ввиду деления на ноль, но уже в выражении для
Если Вы не можете самостоятельно разобраться с заданием пункта 5, то создайте, пожалуйста, для его обсуждения новую консультацию. Сообщите своё решение этого задания и (не обязательно) ответ к заданию из книги.
В результате обсуждения в мини-форуме консультации задания пункта 3 из предложенных ниже:
мы определили, что для выполнения задания нужно установить, при каких значениях происходит деление на ноль в выражении и в выражении Вы решили соответствующие уравнения так, как показано ниже:
и получили две серии значений при которых выражение не имеет смысла. Первая серия
задаёт корни уравнения а вторая серия
задаёт корни уравнения Объединение этих серий можно выразить формулой
На мой вопрос:
Вы ответили:
Спасибо за участие в обсуждении задания пункта 3!
[offtop]Задание пункта 1 Вы выполнили самостоятельно. Я Вам сообщил: [/offtop]
Я хочу обратить Ваше внимание ещё на один (возможно, более простой) способ выполнить это задание. Дело в том, что выражение не определено не только в нулях функции но и в точках разрыва этой функции на вещественной числовой оси. Оба случая описываются уравнением откуда Мы сразу получили искомую серию, для установления которой при первом способе нужно решить два уравнения. Я хотел придержать этот способ напоследок, но учитывая, что у Вас возникла аналогичная проблема с заданием пункта 5, сообщил Вам о нём теперь.
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