请问这题怎么做?微积分
1个回答
展开全部
=lim(e^x²√cos2x-(cos3x+cosx)/2)/(x-ln(x+1))*lim1/√cos2x
=lim(2xe^x²√cos2x+e^x²(-2sin2x/2√cos2x)+3sin3x/2+sinx/2)/(1-1/(x+1))
=lim(x+1)*lim((4x-tan2x)e^x²√cos2x+sin3x+sinx)/2x
=lim((4-2sec²2x)e^x²√cos2x+2x(4x-tan2x)e^x²√cos2x-(4x-2tan2x)e^x²sin2x/√cos2x+3cos3x+cosx)/2
=lim(2+0-0+3+1)/2
=3
=lim(2xe^x²√cos2x+e^x²(-2sin2x/2√cos2x)+3sin3x/2+sinx/2)/(1-1/(x+1))
=lim(x+1)*lim((4x-tan2x)e^x²√cos2x+sin3x+sinx)/2x
=lim((4-2sec²2x)e^x²√cos2x+2x(4x-tan2x)e^x²√cos2x-(4x-2tan2x)e^x²sin2x/√cos2x+3cos3x+cosx)/2
=lim(2+0-0+3+1)/2
=3
追问
好像洛必达,是5吧,答案
追答
呃,漏了3,3sin3x然后是9cos3x,答案应该是(2+9+1)/2=6
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询