Root/Ratio test
If the limit value is less than 1, then Σan ----------
absolutely converges
Harmonic Series
Diverges
What is the center of the series Σ (x/5)ⁿ
zero
0! =
1
If I have a factorial in my series, what test is my best option?
Ratio test
Alternating Harmonic series
Converges
What is the center of the series Σ (x+7)ⁿ
-7
Tylor series with center zero is called ---------
Maclaurin Series
Limit value of n^(1/n) =
1
P-series with p>1
Converges
If my limit value is zero, what are my radius of convergence and interval.
∞ , (-∞,∞)
How many terms are there in a 4th degree Taylor polynomial
5
If every value in my series is raised to nth power, I use----- test
Root test
Geometric series |r| ≥1
Diverges
If my limit value is ∞, what are my radius and interval of convergence
0, Converges at the center only
The zeroth derivative of f(x) is
f(x)
Σ n(x/3)^n . Find the radius of this series
3
Σ (3/7)^n . Does this series converge or Diverge?
Converges since r<1
What is the power series of f(u) = 1/1-u
Σ uⁿ
Tell the first four derivatives of Sin(x)
cosx, -sinx, -cosx, sinx