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12-3 Infinite Sequences and Series
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Hints to solve limits: 1)Rewrite fraction as sum of multiple fractions Hint: anytime you have a number on top, and variable on bottom, the limit is 0. (ex 1/x 2, 1/x 3, 4/5x 2) Anytime you have a variable on top (2x, 3x, x/2) the limit is ∞, or Does Not Exist
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Practice:
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Convergent Series: An infinite series that approaches a limit Divergent Series: An infinite series that does not approach a limit. All arithmetic series are divergent In a geometric series, if lrl > 1, the series is divergent if lrl <1, the series is convergent
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Add the following: 4 +.001 +.0001 +.00001 +.000001
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7)Find the sum of the series: 21 - 3 + 3/7-… 8) Find the sum of (6/5) + (4/5) + (8/15)+…
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