calc II exam 2

p series when p > 1

Converges

p series when p is </= 1

Diverges

When the limit goes to 0

Inconclusive

If the limit doesn’t go to 0

Diverges

Can divergence test confirm if a series converges

No

When |r| < 1

Converges to a/(1-r)

When |r| >/= 1

Diverges

Another name for p series when p = 1

Harmonic series

x = asin θ

If degree in numerator is greater than denominator you should?

use long division

When completing long division where does the remainder go

replaces the original numerator

When an intergral has ∞

replace with (t) and take limit to infinity

when to split integral

when both bounds go to infinity

do you use long division?

no

d/dx sinx

cosx

d/dx cosx

-sinx

What to do with quotient after long division

add it to the fraction

ln(1) = ?

0

logx - log y = ?

log (x/y)

sinθ

what to do with trig equalities in trig sub

plug in for x