Page 229 - Math Grade 12 (Basic)

PROEUS DARA

1
1. n. + oo ~. 1 l'!'i. 2

m. !:!'!'lUIS lim
x-)'0

2x- sin~cos~
2x- sinx 2 2
= =----- = ----,-----:--
Jl- COSX J2\sin~l

ttl X~ 0 X~ 0 + ·j· XI = sm-
. sm-
. X
2 2
sm cos X 2
. X 2
l
= J2 X = J2 X ~ COS~ = J2 cos- X
(
-
. X . X 2 • X 2
sm sm sm-
2 2 2
X
lim J2(2-l) = J2
x->0 +
. X
xsO x_,.,.O- ·j· XI = -sm
. sm
2 2
1
= J2 X(- .X X+ COS~] = J2 X --- + cosx
• X
sm sm-
2 2
X
lim J2(-2+1)=-J2'1
x->0

1 1
2. lim = a = - '1
x->0 8 2
3. n. mil U = mr;fx. <::X= U mn ° § 1{x
Sl ~n X= u"' sh mJx =
r;fx- 1 um-1 m
lim = lim = '1
x->l x--u u" n
'Vx- 1
2. '1

4. tf.i'i:fiS =J2
2
0 . J2sin x . J2lsinxl
f:Hmg X"' 0 , j(x) = sinx + -'----- = smx + . = smx + . '1
smx smx

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