已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2单调性已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2)讨论f(x)的单调性
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 01:10:21
![已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2单调性已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2)讨论f(x)的单调性](/uploads/image/z/6986290-58-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%BB%A1%E8%B6%B3a1%3Dt%EF%BC%9E1%2Ca%28n%2B1%29%3D%28n%2B1%29an%2Fn%2C%E5%87%BD%E6%95%B0f%28x%29%3Dln%281%2Bx%29%2Bmx%5E2-x+%28m%E5%B1%9E%E4%BA%8E%5B0%2C0.5%5D%29+%281%29%E6%B1%82an+%282%E5%8D%95%E8%B0%83%E6%80%A7%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%BB%A1%E8%B6%B3a1%3Dt%EF%BC%9E1%2Ca%28n%2B1%29%3D%28n%2B1%29an%2Fn%2C%E5%87%BD%E6%95%B0f%28x%29%3Dln%281%2Bx%29%2Bmx%5E2-x+%28m%E5%B1%9E%E4%BA%8E%5B0%2C0.5%5D%29+%281%29%E6%B1%82an+%282%29%E8%AE%A8%E8%AE%BAf%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7)
xRN@ni\E&I.D;41&J,:h j",Cz
~mK}'WKt65ػ$ni'chk#GD'TV"^%tС;弐_qY#,6o/ۻ__ojINj]n=s1QȟvidHJR\^cr4_OiO'Ntu>Z{>_0d}S.i3$<LZ:xP]30D|V)2.uR ) %*|*]en[]@ԉP,LŽ*&|c
已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2单调性已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2)讨论f(x)的单调性
已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2单调性
已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2)讨论f(x)的单调性
已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2单调性已知数列{an}满足a1=t>1,a(n+1)=(n+1)an/n,函数f(x)=ln(1+x)+mx^2-x (m属于[0,0.5]) (1)求an (2)讨论f(x)的单调性
(1)a(n+1)/an=1+1/n,代入a1=t
则a2=2t a3=3t a4=4t
则{an}是一个以t为首项 公差为t的等差数列
an=nt(n+1)/2
(2)f'(x)=1/x+1+2mx-1
当f’(x)>0时为单调递增 所以f‘(x)=2mx2+2mx+1/x+1
解得:f(x)单增区间为[-1,+∞)
已知数列{an}满足a(n+1)=an+n,a1=1,则an=
已知数列{an}满足a(n+1)=an+lg2,a1=1,求an
已知数列An满足a1=2 A(n+1)=2-1/An 求:令Tn=An/A(n+1)的求和,证明T已知数列An满足a1=2A(n+1)=2-1/An求:令Tn=An/A(n+1)的求和,证明Tn>n-3/4
已知数列{an}满足a1=1,3a(n+1)+an-7
已知数列an满足a1=1,a(n+1)=an/(3an+1) 求数列通项公式
已知数列an满足:a1=1,an-a(n-1)=n n大于等于2 求an
已知数列{an}满足a1=33,a(n+1)-an=2n,则an/n的最小值
已知数列{an}满足a1=33,a(n+1)-an=2n,求an/n的最小值
已知数列an满足a1=100,a(n+1)-an=2n,则(an)/n的最小值为
已知数列an满足a1=2,an=a(n-1)+2n,(n≥2),求an
已知数列满足a1=1,an-a(n-1)=n-1,求其通项
已知数列{an}满足a1=1,a(n+1)=nan n+1是角标
已知数列{an}满足a1=2,a(n+1)-an=a(n+1)*an,则a31=?
已知数列{a}满足a1=1/2,a(n+1)=an+1/(n^2+n),求an已知数列{a}满足a1=1/2,a(n+1)=an+1/(n^2+n),求an
已知数列{an}、{bn}满足a1=2t(t=/0),且an=2t-t^2/a(n-1)下标,bn=1/an-t.判断数列{bn}是否为等差数列.
已知数列{an}、{bn}满足a1=2t(t=/0),且an=2t-t^2/a(n-1)下标,bn=1/an-t.判断数列{bn}是否为等差数列.
已知数列{an}满足a(n+1)=an+3n+2,且a1=2,求an=?
已知数列{an}满足a1=5,a(n+1)=an+6n+6,则an=