Abel's Test for Convergence of Series
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We prove Abel's Test for
We prove Abel's Test for the convergence of a series of the form sum(a_k)(b_k). If the (b_k) are monotonically decreasing to zero and the partial sums of the (a_k) are bounded, then the series will converge. The alternating series test is a direct consequence of this result.
We use summation by parts, which can be found here: Summation by Parts
#mikethemathematician, #profdabkowski, #mikedabkowski
We use summation by parts, which can be found here: Summation by Parts
#mikethemathematician, #profdabkowski, #mikedabkowski
4 ماه پیش
در تاریخ 1402/12/28 منتشر شده
است.
470
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