取n=2.有(1+1)(1+)>.-- 查看更多

 

題目列表(包括答案和解析)

(1)對(duì)于數(shù)列{an},若存在常數(shù)T≥0,使得對(duì)于任意n∈N*,均有|an|≤T,則稱{an}為有界數(shù)列.以下數(shù)列{an}為有界數(shù)列的是
 
;(寫出滿足條件的所有序號(hào))
①an=n-2②an=
1
n+2
an
an+1
=2,a1=1

(2)數(shù)列{an}為有界數(shù)列,且滿足an+1=-an2+2an,a1=t(t>0),則實(shí)數(shù)t的取值范圍為
 

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(1)對(duì)于數(shù)列{an},若存在常數(shù)T≥0,使得對(duì)于任意n∈N*,均有|an|≤T,則稱{an}為有界數(shù)列.以下數(shù)列{an}為有界數(shù)列的是______;(寫出滿足條件的所有序號(hào))
①an=n-2②an=
1
n+2
an
an+1
=2,a1=1

(2)數(shù)列{an}為有界數(shù)列,且滿足an+1=-an2+2an,a1=t(t>0),則實(shí)數(shù)t的取值范圍為______.

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(1)對(duì)于數(shù)列{an},若存在常數(shù)T≥0,使得對(duì)于任意n∈N*,均有|an|≤T,則稱{an}為有界數(shù)列.以下數(shù)列{an}為有界數(shù)列的是    ;(寫出滿足條件的所有序號(hào))
①an=n-2②
(2)數(shù)列{an}為有界數(shù)列,且滿足an+1=-an2+2an,a1=t(t>0),則實(shí)數(shù)t的取值范圍為   

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(1)對(duì)于數(shù)列{an},若存在常數(shù)T≥0,使得對(duì)于任意n∈N*,均有|an|≤T,則稱{an}為有界數(shù)列.以下數(shù)列{an}為有界數(shù)列的是    ;(寫出滿足條件的所有序號(hào))
①an=n-2②
(2)數(shù)列{an}為有界數(shù)列,且滿足an+1=-an2+2an,a1=t(t>0),則實(shí)數(shù)t的取值范圍為   

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(理)已知函數(shù)f(x)=x2+aln(x+1).
(1)若函數(shù)f(x)在定義域內(nèi)既有極大值又有極小值,求實(shí)數(shù)a的取值范圍;
(2)證明:a=1時(shí),對(duì)于任意的x1,x2∈[1,+∞),且x1≠x2,都有
f(x1)-f(x2)
x1-x2
5
2
;
(3)是否存在最小的正整數(shù)N,使得當(dāng)n≥N時(shí),不等式ln
n+1
n
n-1
n3
恒成立.

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