Page 10 - Math Grade 12 (Advance)

PROEUS DARA

LuiYug: i:iMm
2
~ . 2n 2n + 1 . n + n +I '1
n. 1 rm -- 2. lim f:i. I liD 2
n-?+=n2+1 l1-?+= 3nJ3 n-?+= 2n + l

"'
• tt5 lim a =a sh lim bll:::: ~ tSl g a:5:~
11
ll----? + 00 11----?+oo
"'
e &tJ lim an= +oo tm g lim bn :::: +oo
fl-?+oo 11---:} + 00

t Sl g lim b" = a '1
1l----? + 00
0 1 0 QlQI '::1 Q1 cJ 0 I
nnmfif!i/ : f:iM m ru·i:HHS tiJn ( U ) &{:j run rt11 mttl ru :
11
I
~ U 1 . nn 2. U = n+(-1)" '1
n. 11 = ~sm 6 11 2n
rufJm :
N
nn
"'
l
I . nn 1
o
•
n. mmg~f:itJne IN tm·ns -l<sin-<I t'iJlru --:5:-sm-:5:- '1
lJ - 6- n n 6 n
t ttl ru _!!~ = (- ~) = 0 2 h " 1i~ = ~ = 0 t f:i 01 s ~>i~ = (~ sin ~n) = 0 '1
11 11
11
2. TI&mgu;u 11E IN tf:i'i::flS -1:5:(-1) ::;1 ttfiru n2-ni:s;un::;\+nl
1 1 11 1
&ttl ru lim (n - ) = - Sh lim ( + ) = ! {:jf:HSg lim U, = - '1
n -; + = 2n 2 I! -; + = 2n 2 u 11 --? + = 2
2. lim (lcos(nn)) '1
ll----?+oo n

rJmni nhrunM: I 21hnt'H~sffiut:h
"' 9
I
Ql C), t ~
01St9&918tidl a <h rlfiLi'ilin ntttltl5'1
11 11
2 --- Gl
:unmuu1 : ti:i2J ~61 'th a, = 1-! sh '' '
1 n ',,__ . ,_. b,
1
b = I+- '1 : ~;~~~·-------
11
n
: ............... ;----- ... -
tf:iOlS a < b, nnTI&mg~f:iU n '1 tifs : .......... • an'
11 U I S1 I I I
,'~ I
:, , I I
lim a" = I Sh lim b" = 1 '1
ll--7 + 00 n -1-+oo
0 2 3 4 5 n
5