Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By partial fractions, IM8 1 (2j-1) (2j + 1) 1 (2m - 1) (2m + 1) 0.5 (2m - 1) 0.5 (2m + 1)
Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By partial fractions, IM8 1 (2j-1) (2j + 1) 1 (2m - 1) (2m + 1) 0.5 (2m - 1) 0.5 (2m + 1)
Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By partial fractions, IM8 1 (2j-1) (2j + 1) 1 (2m - 1) (2m + 1) 0.5 (2m - 1) 0.5 (2m + 1)
Transcribed Image Text:Use the Cauchy Criterion for Series directly to prove that the
following series converges.
Hint: By partial fractions,
M8
j=1
1
(2j-1) (2j+1)
1
(2m - 1) (2m + 1)
0.5
(2m - 1)
0.5
(2m + 1)
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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