Page 226 - Math Grade 12 (Basic)

PROEUS DARA

1. 2. Ln.llli5tiqJ1R lim_ J(x-2)(x-3) = 0
x->2

~J:iQlS lx-31 = 3-x<3 ~tllx-21 = 2 x>O

O<lx-2j<() s-'12J J(x-2)(x-3) =

l:HHsg ~tffig'iJ:itl~SS~n c > 0 'i:flS o > 0
u t.:, 1.1
~l::lru O<lx-21 <o s-'12J JJ(x-2)(x-3)j <f '1

tJ:i(fiS lim J(x-2)(x-3) = 0 '1

2. 2. tiirlmm lim(f(x)±g(x)] = M±L '1
l11 """' x-+ a
ttnru limf(x) = M ~tl limg(x) = L ~tmgLl=itl £>0
x-+a x-l>a

f ' <I
lg(x)- Ll < 2 Ll=ili X tl::l ru lx al < Oz
1:3jlht&lJn l(f(x)±g(x)] (M±L)I = l(f(x) M]±[g(x)-L]Isif(x)-MI+Ig(x) Ll

ttltl=irun 0 ~l::lru 0 < 01 sb 0 < Oz u;ngiJlti X ~tlru lx-ai < 0 ttiQlS :

f f
l[f(x)±g(x)]-(M±L)Islf(x)-MI+Ig(x)-LI<2+2 = c '1
~msg Ll=iU £>0 'i:flS o tl::lru lx-al <o il2J l[f(x)±g(x)]-(M± <f

tl=i(f!S lim(f(x)±g(x)] = M±L '1
x->a
2
_ . J x - x + 1 - l . - 1
3 . n. 11m = 1 1m "-'----'----"'-'-'-,=::===---"-
x->O Jl+X- ~ x->0 [(1 + x)- (1-x)](

= lim (x2 x)(,Jl+x+ ~) =-! '1
2
x-;.O 2x(Jx -x + 1 + 1) 2
2
'l1J. lim ( J + 8x- 1 - J i- 3) ffih X = -t , t > 0
x
x- -oo
X __, -00 sl ~ t -> + oo '1 d ~ fU X = -t