. Turbo Pascal. .
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1. n. n!.
:
n! - 1 . 0!=1!=1; 2!=1×2= 2; 3!= 2×3= 6; 4!=6×4=24 .. , n!=(n-l)!×n. . , , . Ÿ n:
, . 3.1.
. 3.1. 1
Turbo Pascal :
Program factorial;
Var n,i,f: Integer;
Begin
Write(' ');
ReadLn(n);
f:=1;
For i:=2 to n do f:=f*i;
WriteLn(n:40, ' f = ', f:0:0);
Write(' _ :');
Write(n:5,'f =', Sqrt(2*Pi*n)*_ Exp(n*(Ln(n)-1)):5:3);
ReadLn;
End.
2. n. :
a) 
) 
:
) , . 3.2.
Turbo Pascal :
Program Square_a;
Var x: Extended;
i,n: Byte;
Begin
Write(' N = ');
ReadLn(n);
x:=0;
For i:=l to n do x:=Sqrt(2+x);
WriteLn(x);
ReadLn;
End.
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. 3.2. - 2
) , ). :
:=0;
For i:=n downto 1 do x:=Sqrt(3*i+x);
3. sin , .
n, Xk d X. - . , - . .:
| X | Y |
| -4.00 | 0.76 |
| -3.00 | -0.14 |
| -2.00 | -0.91 |
| -1.00 | -0.84 |
| 0.00 | 0.00 |
| 1.00 | 0.84 |
| 2.00 | 0.91 |
| 3.00 | 0.14 |
| 4.00 | -0.76 |
, . 3.3.
Turbo Pascal :
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Program tab_fun;
Var x,y,Xn,Xk,dx:real;
Begin
Writeln(' Xn, Xk, dX');
Readln(Xn, Xk, dX);
Writeln(' ------------------------- ');
Writeln('| X | Y |');
Writeln(' ------------------------- ');
x:=Xn;
While x <= Xk do begin
:=sin(x);
Writeln('|', :9:2,' |', :9:2,' |');
:=+dX;
End;
Writeln(' ------------------------- ');
End.
. 3.3. - 3
4. sin e :
. , e.
n- :
, (n+1)- n-, , , .
. (n+1) - , (n+1) n:
, n, n+1:
, , , , . , .
Turbo Pascal :
Program sinus;
{ - - }
Const Maxlter = 500;
{ }
Var x, eps: double;
{ }
, : double;
n: integer; { }
{ }
done: boolean;
Begin
Writeln(' ;');
Readln(x, eps);
done:=true;
:=x; { }
:=; { }
n:= 1;
While abs(c) > eps do begin
{ }
:=-*sqr(x)/2/n/(2*n+l);
{ }
:=+;
inc(n); { . }
If n <= Maxlter then Continue;
Writeln(' !');
{ }
done:= false;
Break;
End;
If done then Writeln('ApryeT: ',_ x:10:6, #13#10, ' : ',_ :10:6, #13#10, ' ',_ eps:8:6, ' ', n, ' ');
Readln;
End.
. break, . #13#10 .
, , done, , . -, , .
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