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-,��Q( *B;t 10 ,J,Q ,fi},J,Q ,;t 50 �.1£fi}1J,Q�l±la
(A) �f(x) frx0 �����pg1jiiJJ:ft1JOBt,J'(x0) 0.
( > B;f, /(
(B ) �J ' x0) 0 X) fr Xo �����pg1jijJJ:ft1JO.
>
(C) �f(x) frx0 ����pg¾[!!]el§�Bt,J"(x0) 0.
>
(D) B,r,
�f"(x0) 0 J(x) fr x0 ����:fl!jpg¾[!!Jel§�.
r-r
(4)
B�f(t) :ii�.� F(x,y)
=
(x -y -t)f(t)dt,JJ!tl(
)
2 2 2 _ 2
aF = aF a F = a F aF = aF a F = a �-
(A) 2 2 . (B) , 2
ax ay ' ax ay ax ay ax ay
_ 2 2 _ 2 _ 2
aF = aF a F = a F aF = aF a F = a F
(C) , 2 2 _ (D) , 2 2 .
ax ay ax ay ax ay ax ay
(5) �p �11t�,*&11t:fJHtf P I� :) ,_Pdx i&�,JJ!tl p �IOCffH'[OO¾( )
x (I
(A)(-1,1). (B)(-1,2). (C)(-oo,l). (D)(-oo,2).
(6) ���tljxnf fillJ,@_ - ; � Xn �; ,JJ!tl( )
(A)* lim cos(sin fffr,Jiltllim fffr.
xn) xn
n--Hic n---+oo
(B ) *lim sin(c os fffr ,Jiltllim fffr.
xn) xn
n---+oo n---+oo
(C)* lim cos(sin fffr,Jiltllim sin fffr,{_§.lim
xn) xn xn �-JEt¥fr.
n----1>00 n--+oo n--+oo
(D):trlim sin(cos fffr,Jiltllim cos fffr,{_§.lim �-JEf¥fr.
x.) xn xn
n-00 n---+oo n----+oo
-1-1 1 1
(7 ) :ct:i" -I+ JI -- i 0 2 (l + x c os X) dx , J 2 - - i O l l n ( + 1 c + o s x X ) d X, J 3 -- i O l + 2 s x m . X d X , J @ )fo II (
(A)/I < J2 < J3. (B)/2 < JI < J3. (C)/I < J3 () 2
r 2 3
(12) E/mE!§� = y(x) m::nffl x + xy + y = 3 liff!J£ ,!J!U y"(l) = __
1
(13) i o x2 2 x - x + + 3 l dx = --
"' o
(14) �:fr::nffl r -2y" + 5y' = aO X
-2-( 18) ( *n!fil,lj::fr 12 ::$t)
!
= = =
iQ:pj§� y(x) :Rd�::$t:1JW2xy' -4y 21n x -1 aJtitt!�y y(x)
*·
(1 =s;;x =s;; e) aJ