已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e 1求数...已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e1求数列{an}的通项公试an?2求:f(a1)+f(a2)+f(a3)+…f(an),3
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![已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e 1求数...已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e1求数列{an}的通项公试an?2求:f(a1)+f(a2)+f(a3)+…f(an),3](/uploads/image/z/5088745-1-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88X9%EF%BC%89%EF%BC%9Dlnx-x%2B1%28x%5B1%2C%2B%E6%97%A0%E7%A9%B7%E5%A4%A7%29%EF%BC%89%2C%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3De%2C%28a%28n%2B1%29%29%2Fan%3De+1%E6%B1%82%E6%95%B0...%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88X9%EF%BC%89%EF%BC%9Dlnx-x%2B1%28x%5B1%2C%2B%E6%97%A0%E7%A9%B7%E5%A4%A7%29%EF%BC%89%2C%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3De%2C%28a%28n%2B1%29%29%2Fan%3De1%E6%B1%82%E6%95%B0%E5%88%97%7Ban%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E8%AF%95an%3F2%E6%B1%82%EF%BC%9Af%28a1%29%2Bf%28a2%29%2Bf%28a3%29%2B%E2%80%A6f%28an%29%2C3)
已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e 1求数...已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e1求数列{an}的通项公试an?2求:f(a1)+f(a2)+f(a3)+…f(an),3
已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e 1求数...
已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e
1求数列{an}的通项公试an?2求:f(a1)+f(a2)+f(a3)+…f(an),3求证:1乘2乘3乘…乘n小于等于en^(n(n-1)/2)
已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e 1求数...已知函数f(X9)=lnx-x+1(x[1,+无穷大)),数列{an}满足a1=e,(a(n+1))/an=e1求数列{an}的通项公试an?2求:f(a1)+f(a2)+f(a3)+…f(an),3
1 (a(n+1)/an=e
所以 an为等比数列
an=a1*d^(n-1)=e*e^(n-1)=e^n
2 f(a1)+f(a2)+f(a3)+...+f(an)=(1-e+1)+(2-e²+1)+(3-e³+1)+.(n-e^n+1)
=2+3+4+...+(n+1)-(e²+e³+.+e^n)
=(2+n+1)*n/2-e²*(e^(n-1)-1)/(e-1)
3 那个是en么 en^(n(n-1)/2)?