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∫((2x+12)/(x³-4x))dx
convergent or divergent? if conv then find sum ∑ (3^(n+1))/(5^n)
(from n=1 to n=∞)
convergent or divergent? ∑ (n+1)/(2n+3)
(from n=1 to n=∞)
convergent or divergent? ∑ (sin²n)/n²
(from n=1 to n=∞)
any help+steps? i know somewhat what to do but i keep getting stuck midway through and im not sure if im using the correct steps to solve. steps in order would be greatly appreciated thank you
The first summation is a variation on a geometric series. Writing it as a different sum multiplied by 3 might help things.
The convergence (or not) of the other two sums can both be evaluated using comparison tests.
Why did the vector cross the road?
It wanted to be normal.
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