Page 145 - Math Grade 11 (Basic)

PROEUS DARA

lim f ( x) = lim c = c
x-s-a x-)oa
limf(x) = limx =a tf:lrn f(x) = x
x->a x->a
lim[f(x)+g(x)] = limf(x)+ limg(x)
x--->a x->a
lim [f(x)- g(x)] = limf(x)- lim g(x)
x->a x-a x-> a
lim[f(x)·g(x)] = limf(x)·limg(x)
x-->a x-a x-;..a

limf(x) ,[img(x)"'O
. f(x)
1 Im-- = x ->a ~'i5
x---> ag(x) limg(x) x _,.a
x-->a
f:Hl.fl21 ~1H§~~~ tl_,fil1:3

n. lim (3 + x)
x--->1
fi. lim ( 3 + X) = Jim 3 + Jim X = 3 + 1 = 4
x->1 x->l x->1
4
2. lim(3/) = lim3·limx = 3·lim(x·x·x·x)
x->2 x->2 x-2 x->2
= 3 lim x · lim x · lim x · lim x
x_,..2 x->2 x->2 x__,..2
4
= 3 . 2 . 2. 2 . 2 = 3 . 2 = 48

(Jf
~6ntnUU1 2
2
n. lim (i- 3/ + x + 1) 2. Jim X -X + J '1
x-1 x--->3 X 2
3 2
fi. lim (i- 3/ +X+ 1) = Jim x - lim 3x + lim X+ Jim J
x->1 x-->1 x-;..J x->1 x->1

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