Question

高数题，级数，求常数项级数的和

Answer 1

利用幂级数的和函数，只不过这个级数的值是和函数S(x)在x=1/2处二阶导数的值。

图1 手动演算结果

追答

function [ S ] = A( N )
%UNTITLED2 Summary of this function goes here
% Detailed explanation goes here
SIZE = size(N);
m = SIZE(1);
n = SIZE(2);
S = zeros(m,n);
for i = 1:1:m
for j = 1:1:n
for k = 1:1:N(i,j)
S(i,j) = S(i,j) + k*(k+1)/power(2,k);
end
k = 1;
end
end
end

N = 1:1:30;
S = A(N);
plot(N,S,'o-');
grid on;
hold on;

Matlab绘制的级数曲线显示，级数的值最终收敛到8