绘制y=sin(x)/x的图形

　　用Matlab里的GUI工具，可以绘制从函数y = sin(x)/x 在x∈【-100,100】，y∈【-0.24,1.1】下的曲线，并观察和推断当x –>+∞，x–>-∞，x–>∞, x –> 0-, x–> 0+, x –> 0时，函数的变化趋势。
　　1）打开Matlab7.0，点击工具栏上的【File】–》 New –》GUI，命名为：jiXian.gif
　　2）在jiXian.gif面板里，拖曳2个坐标系，3个按钮，如图(1)所示：

图(1) 用鼠标右键拖曳按钮，即为复制按钮，
　　3）设置3个按钮的名称、标识
　　三个按钮：comet、limit、close，如表（1）所示
　　表(1) 3个按钮

	名称	标识
按钮1	comet	comet_pushButton
按钮2	limit	limit_pushButton
按钮3	close	close_pushButton

　　修改按钮的属性，这里以【comet】按钮为例。双击按钮comet, 弹出Property Inspector对话框，修改String属性为：comet，Tag属性为: comet_pushButton，点击Callback属性 —>OK，如图(2)所示：
　　

图(2) 修改按钮的String、Tag和Callback属性
　　4）添加1个一级菜单，3个二级菜单
　　一级菜单：File，二级菜单：comet、limit、close，如表(2)所示：
表(2) 4个菜单

	名称	标识
一级菜单	File	File_menu
二级菜单	comet	comet_menu
二级菜单	limit	limit_menu
二级菜单	close	close_menu

　　5）编写3个按钮和4个菜单的响应函数或脚本
　　打开jiXian.m文件，编写按钮和菜单对应的函数
　　代码如下：
　　%%jiXian.m

function varargout = jiXian(varargin)
% JIXIAN M-file for jiXian.fig
%      JIXIAN, by itself, creates a new JIXIAN or raises the existing
%      singleton*.
%
%      H = JIXIAN returns the handle to a new JIXIAN or the handle to
%      the existing singleton*.
%
%      JIXIAN('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in JIXIAN.M with the given input arguments.
%
%      JIXIAN('Property','Value',...) creates a new JIXIAN or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before jiXian_OpeningFunction gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to jiXian_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES% Copyright 2002-2003 The MathWorks, Inc.% Edit the above text to modify the response to help jiXian% Last Modified by GUIDE v2.5 24-Nov-2015 18:30:05% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...'gui_Singleton',  gui_Singleton, ...'gui_OpeningFcn', @jiXian_OpeningFcn, ...'gui_OutputFcn',  @jiXian_OutputFcn, ...'gui_LayoutFcn',  [] , ...'gui_Callback',   []);
if nargin && ischar(varargin{1})gui_State.gui_Callback = str2func(varargin{1});
endif nargout[varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
elsegui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT% --- Executes just before jiXian is made visible.
function jiXian_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to jiXian (see VARARGIN)% Choose default command line output for jiXian
handles.output = hObject;% Update handles structure
guidata(hObject, handles);% UIWAIT makes jiXian wait for user response (see UIRESUME)
% uiwait(handles.figure1);% --- Outputs from this function are returned to the command line.
function varargout = jiXian_OutputFcn(hObject, eventdata, handles)
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)% Get default command line output from handles structure
varargout{1} = handles.output;% --- Executes on button press in comet_pushButton.
function comet_pushButton_Callback(hObject, eventdata, handles)
% hObject    handle to comet_pushButton (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
axes(handles.axes1);
x=-700:0.1:700;
box on;
hold on;
axis([-700 700 -0.24 1.1]);
comet(x,sin(x)./x);% --- Executes on button press in limit_pushButton.
function limit_pushButton_Callback(hObject, eventdata, handles)
% hObject    handle to limit_pushButton (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
axes(handles.axes2);
fplot('sin(x)./x',[-100 100 -0.24 1.1]);
text(30,0.5,'sin(x)/x');% --- Executes on button press in close_pushButton.
function close_pushButton_Callback(hObject, eventdata, handles)
% hObject    handle to close_pushButton (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
close% --------------------------------------------------------------------
function comet_menu_Callback(hObject, eventdata, handles)
% hObject    handle to comet_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
comet_pushButton_Callback(hObject, eventdata, handles)% --------------------------------------------------------------------
function limit_menu_Callback(hObject, eventdata, handles)
% hObject    handle to limit_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
limit_pushButton_Callback(hObject, eventdata, handles)% --------------------------------------------------------------------
function close_menu_Callback(hObject, eventdata, handles)
% hObject    handle to close_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
close% --------------------------------------------------------------------
function File_menu_Callback(hObject, eventdata, handles)
% hObject    handle to File_menu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

　　效果如下：

图(3) 绘制y = sin(x)/x ,x∈【-100,100】
　　由上图，可知，
　　 limx→0−sinxx=1\lim_{x \to 0^{-}}{\frac{\sin x}{x}}=1,
　　 limx→0+sinxx=1\lim_{x \to 0^{+}}{\frac{\sin x}{x}}=1，
　　 limx→0sinxx=1\lim_{x \to 0}{\frac{\sin x}{x}}=1
　　 limx→−∞sinxx=0\lim_{x \to -\infty}{\frac{\sin x}{x}}=0,
　　 limx→+∞sinxx=0\lim_{x \to +\infty}{\frac{\sin x}{x}}=0,
　　 limx→∞sinxx=0\lim_{x \to \infty}{\frac{\sin x}{x}}=0

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