b c d e + + + + x + x f^+ hh -f^h lim 6 h h " A B C D E A J N K O B K b O C K c O D K O d K O E Le P - - 5
A B C D E A J N K O B K b O C K c O D K d O K O E Le P f^+ hh - f^h lim 6 h " h f l^h 6 x + x fl^xh x+ fl^ h + 6 ` A E A B C D E A J N K O B K b O C K c O D K d O K O E L P B D C C C A B C D E A J N K O B K O C K c O D K O K O E L P A B C D E A J N K O B K O C K O D K O K O E L P + b+ c+ d+ e + + + + 혼자하는수능수학 - 년수능
6 d ", d S S - - S 8 6 8 6 A, B P^Ah, P B ^ h c P^A+ B h B c B 5 7 9 7 7 8 7 - - - - -5
8-6 S8- S6 A, B A, B S8- S6 ^+ + g+ 6+ 7+ 8h- ^+ + g+ 6h 7+ 8 - + 8 6 7 8 ", 6 d ^6+ 7dh- ^6+ 5dh ^6+ 6dh+ ^6+ 7dh d + d d + 6d - d d - A A B B C A, B A, B A, B P^A+ Bh P^AhP^Bh P^A+ B C h P^AhP^B C h $ ` - j 9 혼자하는수능수학 - 년수능 5
y x - x + y p X B^9, ph " E^Xh, V^Xh p 9 6
y x - x + y x - x+ x - x x^x- h x, X B^9, ph X B^, ph E^Xh p, V^Xh pq ^q -ph E^Xh 9p V^Xh 9p^-ph " E^Xh, V^Xh ^ 9p h 9p^-ph 9p ^ -ph p p " -^x - x+ h, dx ^- x + xhdx - x + x G - 6 + # # 혼자하는수능수학 - 년수능 7
R ^R h y v c x ^ x # Rh v v k log v - R x k m m 7 R R R lim + lim x" -- x" + 5 9 7 5 8
vc x v x v k log v c - x R 7 R v v klog R c c -k log R R -klog R - klog R - klog R - 7 7 - x v 7 R v c lim + lim x" -- x" + + R x R v v c vc -k log R v R c - -klog R - klog R - ^- hklog R - ^ - h `- j - - ^-h $ - ` j 8 + ` klog R - 혼자하는수능수학 - 년수능 9
f ^ h 977. m 5 m ml z P ^ # Z # zh 5... 77. 5.. 98... 987 5 6 7 log f ^ h * log 5 / ", f^6 h-f^ h ^log- h 5log 5log log ^log+ h
X N^m, v h X N m, v c c m m X N^m, h 5 X N m, c c m m N^m, 5 h f, # # # f^6 h-f^ h ^6 h f^ h 977. X X P ^X $ h 977. X N^m, h P Z m ` $ - j 977. - m -. - m - ` m f^6 h 6 6 f^ h f^6 h log6 log6 ^log+ logh ^+ logh f^ h log log ", f^6 h-f^ h ^+ logh - log 5 5 / / log log 5 / log 5 $ 6 ` j log 혼자하는수능수학 - 년수능
m, fm ^ h f^mh+ f^h ^m, h 5 6
log f ^ h ) log fm ^ h f^mh+ f^h logm+ log logm+ log logm logm m, m m fm ^ h f^mh+ f^h m, ^m, h # m m m # Z fm logm logm log ^ h + ] [ fm ^ h logm ] f ^ h log \ fm ^ h f^mh+ f^h m ^m, h # + + + m, ^m, h # m m # Z fm logm logm log ^ h + ] [ fm ^ h logm ] f ^ h log \ fm ^ h f^mh+ f^h ^m, h # m m # Z fm logm logm log ^ h + ] [ fm ^ h logm ] f ^ h log \ 혼자하는수능수학 - 년수능
A B A B B B ", + ^ h ^ h ^ $ h + 6 5 7 5 log+ ^+ hlog + ^ + h log+ log + + ( 가 ) log b b b+ b+ ( 가 ) " b, b ( 나 ) log ( 나 ) # # ( 나 ) g^h f^h f ^ h g ^ h 8 6
log+ ^+ hlog + ^ + h log + ^+ hlog ^+ h ^ + h log+ + log + + ^ + h ^ + h P^I h A 5 B # 6 6 6 b + b+ ^ + h - / + - b + b k k b + b - ^ + h " b, PII ^ h A 5 B # 6 b b + / - k / - kk ^ + h + c - m k k + k b + ' c - m+ c - m+ g + c - m - P^Ih+ PII ^ h 6 + 9 + ` - j - f ^ h, ^ + h g ^ h - g^h f^h ^ h - 5 ^ h 9 8 혼자하는수능수학 - 년수능 5
N ABCD AB, AD AD BC M, N BN r NMB D CD r DMC NMB MB MB DMC MC MC R MB A MC D BC B,C AB : AD : ABCD R ABCD R R S lim S " R 5 r 9 - k 5 r - k 5 r - k 5 r - k 5 r - k 6
R, R, R R S R S NMB - inmb ^ h r - $ $ r - ` S # ` r - j r - R S dabcd AB AB x dabcd ^- xh + ^- xh x - x+ ^x-h^5x- h dabcd : 5 ` x 5 dabcd : ` : 5 j 5 S S + S 5 S S S + +` j S 5 5 S 5 5 r lim S S - 5 r ` -j " - r - 5 혼자하는수능수학 - 년수능 7
8 7 A, B AB + AB E, ^A- Eh + B O 95 5 5 E O B AB BA ^A - Ah + E O 8
8 7 B AB + AB E ^A+ A hb E - ` B A+ A A, B, C AB + AB E AB ^ + ABh E - ` A B+ AB AB + AB E ^E+ AhAB E - ` ^ABh E+ A A, B, C 5 ^ABh - ^BAh - A - B+ AB 5 A, B, C A A, B, C 5 A, B, C H + -C C 5 5 5 7 5 H + -C C 5 6 # 5 5 B - - A B ^B+ ABhB - - - ^BAh E+ A ^ABh ^BAh AB BA - - ^A - Ah + E " A^A+ Eh^A- Eh, + E " ^A + Ah^A- Eh, + E ^A + Ah ^A- Eh + E B - A + A ^ A - E h - B - ^B h ^- B h + E - - - ^B B BBh + E - E + E O 혼자하는수능수학 - 년수능 9
lim log " x log x, - ^+ hg^ xh x g^xh 5
log x + g^xh lim log ",, # g^xh - # # 5 `,, - log x + log x +, +, + + + + x,, ` ^+ h+ + + + ` j ` j - ^+ hg^xh x x # g^xh - g^xh - g^xh # g^xh # - # - #, `, x log x + g^xh - + log x + -, + - x + + x, ^+ h+ + ` j - ^+ hg^xh - g^xh - # # 7 `,, 5, 6 - log x + log x +, +, 5 +, 6+ + + + 6+ 5 x,,, ` ^+ h+ 5 6 ` + j+ ` + j+ ` + j ^+ h+ c + + m+ c + + m+ g+ + + + + ` + j log ^ h + c + + m + g + + + + ` + j ^+ + g+ h+ ^+ + g+ h+ + + g + + + ^ + h ^ + h ^ + h $ + + $ + + - ^+ hg^xh - g^xh lim log lim " " + 혼자하는수능수학 - 년수능
x + x + bx t y ^t, f^t hh y P P g^th g^th lim x " x + 9 f^h g^th f^h b, 7
x + x + bx ^t, f^t hh fl^xh x + x+ b y- f^th fl^th^ x- th lim x " x + 9 9 y P y- f^th fl^th^ - th y - tfl^th+ f^th y - t^t + t+ bh+ ^t + t + bth y -t - t ` P^, -t -t h P g^th g^th -t - t - t ^t+ h f^ h + + b ` + b t g^th - g^th t t y g^t h t - g^th b ` x + x ` f^h + 혼자하는수능수학 - 년수능
# ^x + xhdx 5 ", - + + - ^ $ h 9
# # - # x dx # x dx # dx - ^x + xhdx xdx # - ; x E 8 ` 5 5 ` 5 j - x 5 + - ^ $ h + ", - - + 9 r 8 $ ^-h 56 8 56 혼자하는수능수학 - 년수능 5
x - x + x - x M + M x, y 5 x x 5y c mc m f + p y 6x+ y x, y 6
x M f l^h f^ h M x - x + x - fl^xh 6x - x+ f l^ h 6- + ` 8 f^ h M - + 8 - M ` M + M 8 + 5 x x 5y c mc m e + o y 6x+ y 5x+ y x 5y e o e + o x + y 6x+ y 5x+ y x 5y e o- e + o x + y 6x+ y e o x+ ^- 5hy e o e o ^- 6hx+ y - 5 x e oc m e o - 6 y x, y b x c mc m c m c d y d - bc x, y $ -^-5h^- 6h - ` - j 8-^ - + h - + - 혼자하는수능수학 - 년수능 7
5 5 5 X E^Xh 8
X X,,, X 5 5C X,,, 5 X,, 5 X, 5 X 5 E^Xh $ + $ + $ + $ ` E^Xh E^Xh ^h 혼자하는수능수학 - 년수능 9
* x+ ^x # h - x 7 x + ^ h fx ^ - h x
f^x- h x lim f ^ x h f ^ x- h f ^ f h ^ - h x" f^x- h f^x- h * x+ ^x # h - x+ 7 * ^x h ^x- h + ^x # h - ^x- h + 7 ^x h Z ] ^x+ h^x- + h ^x # h f^x- h ] `- x+ 7j^x- + h ^ x # h [ ] - x+ 7 - ] ` j` ^x- h + 7j ^x h \ x lim f ^ x h f ^ x- h x" lim f^x- h lim f^xfx h ^ - h x" - x" + lim x 7 x lim x 7 `- + j^ - + h `- + j`- ^x- h + 7j " - " + x x 7 `- + j$ `- + 7j$ 7-6 `- + 7j ` f^x- h f^x- h ^x+ h ^x # h f^x- h ", * - ` x+ 7j ^x h Z ] ^x+ h^x- + h ^x # h f^x- h ] ^x+ h `- ^x- h+ 7j ^ x # h [ ] - x+ 7 - ] ` j` ^x- h + 7j ^x h \ x lim f ^ x h f ^ x- h f ^ f h ^ - h x" lim f ^ x h f ^ x- h x" lim f^x- h lim f^xfx h ^ - h x" - x" + lim ^x+ h^x- + h lim ^x+ h - ` ^x- h+ 7j " - " + x x ^+ h$ ^+ h$ 7-6^ + h ` - lim ", x" - x" - lim ", x" + " lim ^x + h lim `- x + 7j 7 9 x + ", x f^x- h x x ^- h+ 혼자하는수능수학 - 년수능
x -x lim f k k f^h " / k
x -x # lim " / k lim f k f ` ^ " j h lim # " k / k &, k & x, & dx f k ` $ $ - j ^ h ^ h f^xhdx - " ^ xh - ^xh, dx - # # ^7x - xdx h - 9x - x G - 9 - - - - 6 혼자하는수능수학 - 년수능
y, y - + y x x x y
x, x + y x y - x+ - x+,,, g y x ` j x, x 6 + x, y x x x,, g ^, h, ^, h, ^, h, ^, h 567,,, g 6 x 6 567,,, g x, x 5 6 h : : 6 + 5 6 + 6 8 : 6 + 8 9 : 6 + 9 5 h x, x x, x 6, 5, 6, g, 8 5 5 + 6 혼자하는수능수학 - 년수능 5