Page 22 - Math Grade 12 (Basic)

PROEUS DARA

sin8
~ th t.i5 lim cos 8 I Sb lim l I:Sl8t~ms lim = 1 '1
8-->0 II __ , 0 8 ~> ()

( l

Sll12
1- cosx
2. lim = lim = lim -- x sini 0
X
x-;..0 X X->() X x () X
2

2 ~r si~~r
fJ 1}1'f.J)I n.n = lim 2 = lim = '1
"' 2 :lim
x__,.O X (I ->0 2

fJIJ1'f.J}Iful 3 : ~llilSl lim cosx '1
Jt
Jt
x->2 x-2
mb a = x- ~ tSlLJf = a+~ ttflt.i5nHl..Hl.m x _, ~ ~:mg a_,. o

cos( a+~)
sin a
----=lim =
a u-..(1 a

cosx- sinx
n. lim 2. lim ~. lim '1
Jt cos2x X->() X-> 0
x-->-
4

n. lim = = J2 '1
"
x-;..4 - J,:--J>- " 2
4
2x
2. lim lim
x-..0 x-->0 (sin3x)(
2
3 l
= Jim '1
X () 3

sin3x
~. lim = lim (JX+2 + J2)sin3x = lim(<
x-->0 Jx+2-J2 x->0 (x + 2- 2) x-->0

= 2J2 X 3 = 6J3 'j

l:uRuD : ~ ru121
. cos6x- cosx
- n. l. JX+4-2 2. !1ill ---:--- ~. lim tanx sinx '1
.
1m
x->() Sill 5 X x--;..0 x-..o