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8 - .

v . 㺺 vv . v ( , v vv!):

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g(a+h) - g(a) = k(h)

v . h-->0 k(h)-->0 v . k(h)-->0 k(h)=0 . ( v!) : g(x)=c k(h)=0 . .

8

g a , f g(a) . f(g(a))

v v .

f g(a) . f g(a) v . , >0 0<|k(h)|<1 v k(h) -

(1)

1>0 . g v 1>0 |h|< v h -

(2) |g(a+h) - g(a)|<1

>0 . |h|< h . k(h) = g(a+h) - g(a) 0

. (2) - |k|<1 . (1) -

|y(h) - f'(g(a))|<

v . k(h)=0

|y(h) - f'(g(a))| = 0 <

.

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v v. 㺺: , v , .

y(h) v . ? , . . ( v v k(h)=0 . 0 - v .) . . . v , , , v v v . ( 㺺 vv, vv! .)


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