Estimating Sums Using the Integral Test and Comparison Test

Estimating Sums Using the Integral Test and Comparison Test

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains convergent series and introduces the integral test as a method to determine convergence. It demonstrates the integral test using the series 1/n^2 and explains how to estimate the sum of a series. The tutorial also covers p-series, stating that they converge if the exponent is greater than 1. Additionally, the comparison test is introduced as a technique to determine convergence by comparing series to known convergent or divergent series.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the key points of the integral test and the comparison test as methods for determining series convergence.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the comparison test and how it can be applied to assess the convergence of a series.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the terms of a series and the terms of a known convergent series in the context of the comparison test?

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