第三十一题
![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_165435.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
Limit[(x*(E^(Sin[x]) + 1) - 2*(E^(Tan[x]) - 1))/(Sin[x]^3), x -> 0]
![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_213532.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
y[x_] := (1 - Cos[2 x])/x;
D[y[x], x]
D[y[x], {x, 2}]
![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_213551.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
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![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_165435.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
Limit[(x*(E^(Sin[x]) + 1) - 2*(E^(Tan[x]) - 1))/(Sin[x]^3), x -> 0]
![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_213532.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
y[x_] := (1 - Cos[2 x])/x;
D[y[x], x]
D[y[x], {x, 2}]
![Mathematica入门习题[31]–极限与导数](https://img.mathpretty.com/snipaste_20170912_213551.png?imageView2/0/q/75|watermark/2/text/5YWz5rOo5YWs5LyX5Y-377ya5paH6Im65pWw5a2m5ZCb/font/5b6u6L2v6ZuF6buR/fontsize/540/fill/IzAwMDAwMA==/dissolve/100/gravity/SouthEast/dx/10/dy/10|imageslim)
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