MAT136H1 Lecture Notes - Alternating Series
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MAT136H1 Full Course Notes
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Question #4 (medium): sum of series correct to limited decimal place. In order to determine the sum of the series exactly correct to the number of decimal places assigned, then test a couple of "s and see if it is outside the number of decimal places. Then adding that to does not affect the value of the sum to the assigned decimal place. Thus you can be sure that is matches the true value of the sum of the series up to that number of decimal places. Approximate the sum of the series correct to four decimal places. Then try therefore it affects the series within the four decimal places. We need to try further into the series. Depending on what number falls in the fifth decimal place, if that number is greater than 5, it will carry over to the fourth decimal place and affect the sum. Thus to be safe, go one more step:
