, , repeat - until while-do.
12. y=2x-sin(x) [ xmin,xmax ] Dx, .. y(x), x [ xmin,xmax ].
repeat - until.
repeat - until:
Repeat
1;
2;
n;
until _;
repeat - until:
1) ;
2) _ true (), , , 1).
Program Prim12;
var
x, y, xmin, xmax, dx: real;
begin
writeln(' xmin,xmax,dx');
readln(xmin,xmax,dx);
x:=xmin;
repeat
y:=2*x-sin(x);
writeln('x=', x:7:2, ' y=', y:7:2);
x:=x+dx;
until x>xmax;
end.
: :
xmin = -2; xmax = 1; dx = 0.5 x= -2.00 y= -3.09
x= -1.50 y= -2.00
x= -1.00 y= -1.16
x= -0.50 y= -0.52
x= 0.00 y= 0.00
x= 0.50 y= 0.52
x= 1.00 y= 1.16
13. 
[ a,b] e .
. 1. [a,b] (x:=(a+b)/2).
2. x0 x.
3. : |x - x0|£e.
Program Prim13;
var
a,b,x,x0,eps: real;
n: integer;
begin
writeln('a,b,eps');
readln(a,b,eps);
x:=(a+b)/2;
n:=0;
repeat
x0:=x;
x:=sqrt(18+x0)+sqrt(16-x0);
n:=n+1;
until abs(x-x0)<=eps;
writeln('x=', x:8:5,' n=', n:3);
end.
: :
a = 6; b = 8; eps = 0.0001 x= 7.93272 n= 5
14. :
: |sin(nx)/n|£e
while-do.
while-do:
While _ do
Begin
1;
2;
n;
end;
while-do:
_ true (), , .
Program Prim14;
var
a,s,x,eps: real;
n: integer;
begin
writeln(' x, eps');
readln(x,eps);
s:=0;
n:=1;
a:=sin(x);
while abs(a)>eps do
begin
s:=s+a;
n:=n+1;
a:=sin(n*x)/n;
end;
writeln('s=', s:8:3);
end.
: :
x = 3.48; eps = 0.0001 s= -0.168
15. 
|
|
|
: |xn/n!|£e
. 1. :
s:=0; n:=1; a:=x; - () .
2. x/n 1, .. , .. : a:= -a*x/n.
Program Prim15;
var
a,s,x,eps: real;
n: integer;
begin
writeln(' x,eps');
readln(x,eps);
s:=0;
n:=1;
a:=x;
while abs(a)>eps do
begin
s:=s+a;
n:=n+1;
a:= -a*x/n;
end;
writeln('s=', s:8:3);
end.
: :
x = 1.3; eps = 0.0001 s= 0.727
, , .
, , , .
, , , .
