试图在Matlab中计算e ^ 10的部分和? [英] Trying to calculate partial sums of e^10 in Matlab?

问题描述

我已经编写了函数:

function [sum] = func(a,b)
sum = 0;
for i = 0:b
    sum = sum + ((a.^i)/(factorial(i)));
end

在控制台中，我给出的命令是:

In the console, the commands I give are:

>> x = [10:10:100]
x =
    10    20    30    40    50    60    70    80    90   100

然后我得到:

>> y = func(10,x)
y =
   1.2842e+04

为什么我没有得到病媒?为什么这个数字这么大(应该接近10)? 任何帮助将不胜感激！

Why am I not getting a vector? And why is the number so big (it's supposed to be close to 10)? Any help would be appreciated!

推荐答案

f = @(x,i) (x.^i)./factorial(i)
r=f(10,0:50); %50 terms in taylor series more than enough for good approx.
cumsum(r)

1.0e+04 *

0.0001
0.0011
0.0061
0.0228
....
2.202646579479054
2.202646579480280

验证

>> exp(10)
    2.202646579480672e+04

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