Page 9 - Math Grade 12 (Advance)
P. 9
PROEUS DARA
""'
"' ~61 (all) : a 1 , a 2 , a , •.• ,all, ... + 00 '1
3
1
""'
" ~61 (all) : a , a , a , ..• , a , ...
11
3
1
2
1
2
&l:l ru ull = - 3n - 2 ctl fi1611 R '1
1
2 2
lim (-3n -2) = lim (-3n ) = -00
ll-7 +oo n-++=
- C»- eJ(J_ 2 3
n. ~., (a ) twru all= n -3n 2. (Uil)
11
1
""' 1!$ 1!$ 1!$ 1!$ b ..,
2. ii5 ~ ~ o £S G ns re t5 ~Gsa~~
2.1. L§~U9t~:
t~'i:flS fiin (a ) Sob (b ) &l:l bli'i:flS lim all = M Sob lim b = N t~Q1S :
11 11 11
1 ll-7+oo n-++=
lim ka = kM &l:lru k mt1sstrH
n--=>+oo 11 lJ
lim (an+ b ) = M + N , lim (a - b ) = M- N
ll-7 +oo 11 11-7 +oo 11 11
..,
" lim (a b,) = MN, m N ::f:. 0 O:l"H lim
11
n-7+oo n-+ +oo
0 1 0
n!tmtitiJ :
3n + 1 5 = 5n + 1 '1
ull = --+- 2. cull) : ull
n n2 3n +2
3n + 1
v =--
11 n
3n + 1 1 l
t~Q1S v = -- = 3+- tt!Hti lim - = o &mg lim v = 3
11 11
n n n-++=11 n-++oo
lim w = lim 1 = 0
n-7+oo 11 n--t+oo n2
f:lmsg lim un = lim vn + lim w, = 3 + 0 = 3 '1
u n-?+oo n-7+oo n -++ oo
1
5+-
5n + 1 n 5
2. lim u, = lim = lim = '1
11-?+oo 3n+ 2 2 3
n ->+ oo n-?+oo
3+-
n
4