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MAT136H5 S 2025 - All Sections 5.3 preparation check
Multiple choice
Read Theorem 5.9: Integral Test from the textbook Links to an external site. .ย ย Suppose you are given a series โ ๐ = 1 โ ๐ ๐ ย and that you have already found a function ๐ ( ๐ฅ ) such that ๐ ( ๐ ) = ๐ ๐ for all integers ๐ โฅ ๐ ย for some positive integer ๐ . If you wanted to use the Integral Test to find out if the series converges or diverges, which of the following would you need to do? (Select all that apply.)
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When applying the Integral Test, we need to ensure certain conditions about the associated function f(x) and the series terms a_n hold true, so a careful check of each statement is in order.
Option 1: Evaluate the integral โซ_N^โ f(x) dx (or determine another way to assess convergence). This is central to the Integral Test. One uses the improper integral of f(x) from N to infinity to compare its convergence with that of......Login to view full explanationLog in for full answers
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