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Level 532

Series & Polar Coordinates


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diverges
P-series ∑1/nᴾ....p<1
converges
P-series ∑1/nᴾ....p>1
Integral Test
take integral and evaluate, if it goes to a number it is convergent, if there is ∞in it, its divergent
Comparison Test
after comparing remember to take the limit as n→∞ of an/bn and for convergence it must lie on the interval 0<L<∞
Ratio Test
limit as n→∞ of an+1/an
Power Series
do the ratio test, then find the interval of convergence and where the origin is