final exam Flashcards
1
Q
nth term test
A
lim n->∞ an
= 0 -> inconclusive
not = 0 -> divergent
2
Q
e^-∞ = ?
A
0
3
Q
lim n-> ∞ (1+k/n)^n/k = ?
A
e
4
Q
∫1/u = ?
A
ln |u| + C
5
Q
derivative of arcsinx = ?
A
1/√(1-x^2) dx
6
Q
derivative of arccosx = ?
A
-1/√(1-x^2) dx
7
Q
derivative of arctanx = ?
A
1/(1+x^2) dx
8
Q
limit comparison test
A
if an/bn is anything other than 0 or infinity, both series are either convergent or divergent
