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1、数学基本实验实验一.函数的极限1.1.1symsx;f=(2*x^2-2)/(x-1);limit(f,x,1)ans=41.1.2symsx;f=(x^2+4)/(x-7);limit(f,x,2)ans=-8/51.1.3symsx;f=(x^2-1)/(x^3-1);limit(f,x,1)ans=2/31.1.4symsx;f=(x^2+3)/(4*x^2-7);limit(f,x,inf)ans=1/41.1.5limit(sqrt(x^2+x)-sqrt(x^2+1),x,+inf)ans=1/21.1.6limit((exp(1/x)*
2、sqrt(atan(1/x)+pi)),x,0,'left')ans=01.2.1f=x*3^x-1;solve(f)ans=1/log(3)*lambertw(log(3))1.3.1f=x-4*cos(x)+2;solve(f)ans=.1.4.1symspqx;f=x^4-p*x+q;solve(f)ans=1/12*6^(1/2)*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2)+1/12*(
3、-(6*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2)*(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+288*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2)*q-72*p*6^(1/2)*(108*p^2+1
4、2*(-768*q^3+81*p^4)^(1/2))^(1/3))/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3)/(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2))^(1/2)1/12*6^(1/2)*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^
5、(1/2))^(1/3))^(1/2)-1/12*(-(6*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2)*(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+288*(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2)
6、*q-72*p*6^(1/2)*(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3)/(((108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(2/3)+48*q)/(108*p^2+12*(-768*q^3+81*p^4)^(1/2))^(1/3))^(1/2))^(1/2)数学基本实验实验一.函数的极限1.1.1symsx;f=(2*x^2-2)/(x-1);limit(f,x,1)ans=41.1.2sy
7、msx;f=(x^2+4)/(x-7);limit(f,x,2)ans=-8/51.1.3symsx;f=(x^2-1)/(x^3-1);limit(f,x,1)ans=2/31.1.4symsx;f=(x^2+3)/(4*x^2-7);limit(f,x,inf)ans=1/41.1.5limit(sqrt(x^2+x)-sqrt(x^2+1),x,+inf)ans=1/21.1.6limit((exp(1/x)*sqrt(atan(1/x)+pi)),x,0,'left')ans=01.2.1f=x*3^x-1;solve(f)ans=1/log
8、(3)*lambertw(log(3))1.3.1f=x-4*cos(x)+2;solve(f)ans=.1
