1.
2.
3.
, , .
y=f(x) [a;b] Pn(x) ,
f(x)=Pn(x), a x b (1).
, . , (1) . ij, , f(x1) i Pn(x) y=f(x) i y=Pn(x) 1 , f(x1) i Pn(x1) (). .
f(x) f(x), , , , 0, , n. Pn(x)=Pn(x0+th)=y0+ ,
t= ,
Pn(x)=(Pn(x0+th))x=(Pn)t*tx= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= .
Pn(x)=Pn(xn+th)=yn+ ,
t= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= .
³, 0 n , .
, , k. k 0, t=0,
Pn(x0)= ,
Pn(x)= .
, , .
y=f(x) [a;b] Pn(x) ,
f(x)=Pn(x), a x b (1).
, . , (1) . ij, , f(x1) i Pn(x) y=f(x) i y=Pn(x) 1 , f(x1) i Pn(x1) (). .
f(x) f(x), , , , 0, , n. Pn(x)=Pn(x0+th)=y0+ ,
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t= ,
Pn(x)=(Pn(x0+th))x=(Pn)t*tx= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= .
Pn(x)=Pn(xn+th)=yn+ ,
t= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= ,
Pn(x)=(Pn(xn+th))x=(Pn)t*tx= .
³, 0 n , .
, , k. k 0, t=0,
Pn(x0)= ,
Pn(x)= .
, , [a;b], . .
[x0;x0+ x] y=f(x). ,
f( )= ,
0< <x0+ x. , , , (x0;x0+ x). x , , [x0;x0+ x], =0+ , f(0+ ) .
0+ . . ³ ( [x0;x0+ x]) KD||AB. OD=OK*tg , =<DKO=<BAC. ³, OD=f(0+ ). DN . N, 0+ , f(0+ ), f(x).
f(x) [a;b]. ³ [a;b] ᒺ n , , , . , [x0;x0+ x]. , N, 璺 , f(x).