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高数常用等价无穷小和泰勒公式动态图像

发布时间:2026/10/21 2:21:18 来源:尧图企业网站定制
文章目录sinx~xarcsinx~xtanx~xarctanx~xe^x-1~xln(x1)~x1-cosx~1/2*x^2sinx泰勒展开arcsinx泰勒展开tanx泰勒展开arctanx泰勒展开cosx泰勒展开ln(x1)泰勒展开e^x泰勒展开1/(1-x)泰勒展开下面的代码都是Maple没有找到Maple就选择了Matlab代码sinx~xf:x;g:sin(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x,sinx],frames50);arcsinx~xf:x;g:arcsin(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x,arcsinx],frames50);tanx~xf:x;g:tan(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x,tanx],frames50);arctanx~xe^x-1~xf:x;g:exp(x)-1;plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x,exp(x)-1],frames50);ln(x1)~xf:x;g:ln(x1);plots[animatecurve]([f,g],x-0.5..0.5,color[red,blue],legend[x,ln(x1)],frames50);1-cosx~1/2*x^2f:1-cos(x);g:1/2*x^2;plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[1-cosx,1/2*x^2],frames50);sinx泰勒展开f:x-1/6*x^3;g:sin(x);plots[animatecurve]([f,g],x-1.5..1.5,color[red,blue],legend[x-1/6*x^3,sinx],frames50);arcsinx泰勒展开f:x1/6*x^3;g:arcsin(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x-1/6*x^3,arcsinx],frames50);tanx泰勒展开f:x1/3*x^3;g:tan(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x-1/6*x^3,tanx],frames50);arctanx泰勒展开f:x-1/3*x^3;g:arctan(x);plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[x-1/3*x^3,arctanx],frames50);cosx泰勒展开f:cos(x);g:1-1/2*x^21/24*x^4;plots[animatecurve]([f,g],x-2..2,color[red,blue],legend[cosx,1-1/2*x^21/24*x^4],frames50);ln(x1)泰勒展开f:ln(1x);g:x-1/2*x^21/3*x^3-1/4*x^4;plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[ln(1x),x-1/2*x^21/3*x^3-1/4*x^4],frames50);e^x泰勒展开f:exp(x);g:1xx^2/2!x^3/3!;plots[animatecurve]([f,g],x-1..1,color[red,blue],legend[exp(x),1xx^2/2!x^3/3!],frames50);1/(1-x)泰勒展开f:1/(1-x);g:x^3x^2x1;plots[animatecurve]([f,g],x-0.5..0.5,color[red,blue],legend[1/(1-x),x^3x^2x1],frames50);

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