In problems 17 31 determine whether the given series converge or diverge.
20. (-0.99) n+1
In problems 1 30 determine whether the given series Converge Absolutely, Converge Conditionally, or
Diverge and give reasons for your conclusions.
4. [ (-1) n 2 + In(n)
In problems 1 -24, (a) find all values of x for which each given power series converges, and (b) graph the
interval of convergence for the series on a number line.
In problems 1-14, use the substitution method and a known power series to find power series for the
In problems 5 -8, calculate the first several terms of the Maclaurin series for the given functions and
compare with the series representations we found in Section 10.9 . (The series should be the same.)
10. tan(x) to the x 5 term
In problems 1-10, calculate the Taylor polynomials PO, P1, P2, P3, and P4 for the given function
centered at the given value of c. Then graphthe function and the Taylor polynomials on the given
6. f(x) = Vx , c = 9,[0,20]
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