series tests
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14 Terms
write the taylor polynomial
write the maclaurian polynomial
alternating series remainder
write the lagrange error
when does a geometric series diverge
when does a geometric series converge and what does it converge to
where a is the first term of the series and r is the common ratio
what is the nth term test
is not, then the test is inconclusive
what is the integral test
if continuous and decreasing and positive then both converge or both diverge
p series test
converges if P>1 harmonic series always diverge
limit comparison test
direct comparison test
if comparison is bigger than original check convergence if comparison smaller than original then check divergence
alternate series test
converges if lim of absolute value = 0 and series is decreasing
ratio test
root test
