Zbadać monotoniczność ciągu: | |||
. 6-4 n2 |
4 |
n" | |
-*-• Qn y i 3 nz +1 |
un ~ |
, J ni | |
o e” |
5. |
22n(nl)2 | |
i. an = , n |
an |
(2n)l 1 | |
nl 3. a„-^r, |
6. |
anz |
_(3n) i (ni)3 • |
Obliczyć: | |||
, 4n3 +5n—1 3n5 +2n2 |
a. |
lim n—900 |
'M |
.. (2n—l)3 2. lun--—y -, n-*“° (4n—1)2(1—5n) |
9. |
lim n—s©c |
M- |
3. lim/2""3], n-^3n+l J |
10. |
lim n—?w= |
(Sf |
4 lim-.■ - n^“3n-V9n2 +6n-15 1 |
11. |
lim n—*>o | |
5. lim(nV2-V2n3+5n2-7l fł-*» ' |
12. |
lim n— |
mr |
gl°fan 6. lim-j—, n->oo 4*c%2n |
lim