用Octave计算不定式极限(2)
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基本不定式(2) \(\frac{ \infty}{\infty}\)型
计算\( \displaystyle\lim_{x \to \infty} \frac{ {\rm ln}^2 x }{ \sqrt{x} } \)
程序代码如下
function [text_result, numeric_result] = func8(x_value)
    pkg load symbolic;
    x = sym('x');
    unit_1 = power(log(x), 2);
    unit_2 = sqrt(x);
    question = unit_1 / unit_2;
    lim = limit(question, x, x_value);
    text_result = ["\n", disp(lim)];
    numeric_result = eval(lim);
endfunction
令\(x \to \infty\),计算结果如下
>> [text_result, numeric_result] = func8(inf)
text_result =
    0

numeric_result = 0
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