The series expansion (级数展开式) of sine function at a given x using n terms (项) is

这个附件的图。。。
(1) Write an M-file named “sine.m” which contains a function. The function computes the
value of sine function using the above expansion at a given x using n terms. In other
words (换句话说), the function sine(x,n) returns (返回) the value of the expansion at x
and the value is calculated using n terms.
(2) Matlab has a built-in (内建) sine function named “sin” which computes the value of sine
function at a given x. As you can imagine (想象), the values obtained by using theexpansion may not be the same with the results returned by the sin function used by Matlab. See the data in the following table for an example.
The number of n    Sin(π/4)    Sine(π/4,n)
        1                        0.707106… 0.785398…
    2                        0.707106… 0.704652…
    3                        0.707106… 0.707143…
    4                        0.707106… 0.707106…
    As you may have noticed from the table, for a given point π/4, the larger the number n is,
the closer the values obtained by using the expansion are to the actual values calculated
by the sin function in Matlab. Now a question rises: in order to achieve (达到) a certain
degree of accuracy (精确度), how many terms should be used in the expansion in
approximating (近似计算) the value of sine function?
To answer this question, write another M-file named “computeN.m” which finds the
number n in order to meet a required accuracy for a given point x. At some point in this
file, you should call (调用) the function in sine.m explicitly.
(3) Write a third M-file named “plotGraphs.m” which has a function taking the n as input and
plots both sin(x)-x and sine(x,n)-x on the same graph. The variable x should take the
values from -2π to 2π with the step length less than 0.1. Remember to add title, labels and
legend to the graph properly. Call this function from the function in computeN.m, so that
each time computeN(x,δ1) is executed, a graph of the two curves is plotted.
Hint: You may need to slightly (稍微地) change the function in sine.m to make it adapts
the cases that x is a vector.
(4) Run computeN(2, 10e-6) in the command window of Matlab and observe the difference
between the two curves: sin(x)-x and sine(x,n)-x.

题目应该不难懂。。。。。望达人指点，我昨天搞了一个晚上没搞出来。。。

怎么没人问津阿。。。。能搞出来的高手一定FY相赠阿。。

这个也太简单了吧,  

Quote:

引用第3楼老子124于2008-01-07 20:34发表的  :
这个也太简单了吧,  

蝈蝈给做一个嘛。。。我数学实验算是白学了。。。

Quote:

引用第4楼negative于2008-01-07 20:35发表的  :

蝈蝈给做一个嘛。。。我数学实验算是白学了。。。

偶在清水河,看不到你的那个图是啥子...

是要得到  泰勒级数  吗？

我晕。。。。
sin(x)=求和k从1到年n,(-1)^(k-1)*x^(2k-1)/(2k-1)!
能看懂否？

Quote:

引用第6楼woofuzhe于2008-01-07 20:37发表的  :
是要得到  泰勒级数  吗？

用matlab程序实现上面的要求。

Quote:

引用第6楼woofuzhe于2008-01-07 20:37发表的  :
是要得到  泰勒级数  吗？

是让你把一个数字的正弦函数用泰勒级数的n次展开,其中n是给定的,这个数字也是给定的,后面再比较它了matlab里面的sin函数的值的差

如果是要的泰勒级数
不重过程 倒好办

Quote:

引用第9楼老子124于2008-01-07 20:40发表的  :

是让你把一个数字的正弦函数用泰勒级数的n次展开,其中n是给定的,这个数字也是给定的,后面再比较它了matlab里面的sin函数的值的差

蝈蝈正解。。。

matlab有个工具箱可以直接的到泰勒级数

Quote:

引用第10楼woofuzhe于2008-01-07 20:41发表的  :
如果是要的泰勒级数
不重过程 倒好办

关键就是要程序，我搞不出来，原理其实很简单。。。

Quote:

引用第12楼woofuzhe于2008-01-07 20:43发表的  :
matlab有个工具箱可以直接的到泰勒级数

啥工具箱？