Assertion : If all terms of a series with positive terms are smaller than 10 –5 , then…

Mathematics · JEE Advanced · NTA Exams — Progression and Series

Assertion : If all terms of a series with positive terms are smaller than 10^–5, then the sum of the series upto infinity will be finite.
Reason : If \(S_{n}<\frac{n}{0^{5}}\)then S_n is finite.

1. If both assertion and reason are correct and reason is the correct explanation of assertion.
2. If both assertion and reason are true but and reason is not the correct explanation of assertion.
3. If assertion is true but reason is false.
4. If assertion and reason are both false.

Answer

(D) If assertion and reason are both false.

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