what we did this week in calc class, we basically went over some more stuff with power series and taylor polynomials and maclaurin serires and what not. same old chapter nine stuff that we been doing for the past 2 weeks or whatever.
ok so POWER SERIES:
what you do for this is
1. do ratio test
2. set lim of abs value less than 1
3. solve
i went over taylor polynomials and all that last week. so let's go over derivative rules, since we been using that lately
sin = cos
cox = -sin
tan = sec^2
sec = sectan
1/x^2 = -2/x^3
xsinx = product rule
x/cosx = quotient rule
that is just a few examples of some derivative formulas for ya.
lim rules as n approaches infinity
1. if top degree > bottom degree = +/- infinity
2. if top degree < bottom degree = 0
3. if top degree = bottom degree = divide leading coefficients
yayyyyyyyyyyyyy :)
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just a reminder. if the limit after the ratio test gives you infinity somewhere, it'll diverge. then you'll have to find the values that'll make the less than 1 statement true, and those would be the values at which it converges.
ReplyDeleteI know. confusing.