Page 28 - Math Grade 12 (Basic)

PROEUS DARA

® H s f:l'i:Hl """"
"' f l:flS 051H1 L i'1H1HUT1 X
I
ti:lrn 0 < lx al < o G:l§j Ll <E '1 tf:lfdHnH : limf(x) = L '1
x ->a
" rf:lffiHGjf:l'HS f 2non +oo ~ -oo) mb1Hl.m x 2nofi a ttithmgLf:ltlG~s
M>O rf:ll:flS 0>0 rtlru O<ix aj<o Gll§j >M ( ~ f(x)< '1

~f:lMHMa lim f(x) = + oo ~ lim = -00 '1
x_,.a x a

lim f(x) = L ~ lim = L '1
X ----:t- +CO
~ Q~ ~ s t:::ll 0 f 0
" HGjf:l'HS f l:flSI:li'Hn +oo mrurun x ~fiwfi +oo ttHHmgu'ltii3~2 M > 0
&f:ll:flS N>O ttlrn x>N Gll§j >M tf:lMHhl~ lim f(x) = +oo '1
x->+oo
"

<} 0~
N>O ti:lrn x<-N Sl<:~J = + 00 '1

"" m limj(x) = L , lim = M ~b lim h(x) = N tt.il ru L, N
x-> x ->a

"' lim [f(x) ± g(x)] = ± M ttl 05

" lim [f(x) + g(x)- h(x)] = L + M- N
x->a
.. limkf(x) = kL , k ctluss&G~
ll
"' lim [j(x) · g(x) · = L·M·N

lim
lim j(x) = x-->a = !::._ ttlru M"O , g(a)"O
x-a g(x) lim g(x) M
x-->a
.. lim [J(x)r =
X--?Q

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