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How does one determine if the following series is arithmetic or geometric. If it is arithmetic, what is the common difference? If it is geometric, what is the common ratio? Using this information,...

To write the maclaurin series for 1/sqrt(1+x^3), why is it incorrect to multiply top and bottom by sqrt(1+x^3) and write the series as if it were in the form 1/(1-x), thus making the series...

the sum of the series 1/1! + (1+2)/ 2! + (1+2+3)/3! +.......... equals   a) e             b) e/2        ...

Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. A. ∑(1/n),n=1 to infinity,  B...

Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 5−10z+20z^(2)−40z^(3)+? sum = domain...

Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. A. ∑(1/n),n=1 to infinity,...

Prove that:     IF sum(an)[from 1 to inf] < inf, AND an > 0, THEN sum(sin(an))[from 1 to inf] < inf.   How do I do it? Thanks!

Series: A Series (Or Infinite Series) is obtained from a sequence by adding the terms of the sequence. Another sequence associated with the series is the sequence of partial sums. A series converges...