✔ 最佳答案
6
[2,4,3]=12
a=5^(1/2)=(5^6)^(1/12)=15625^(1/12)
b=24^(1/4)=(24^3)^(1/12)=13824^(1/12)
c=11^(1/3)=(11^4)^(1/12)=14641^(1/12)
a>c>b
7
√n-√(n-1)<0.01
1/[√n-√(n-1)]>100
√n+√(n-1)>100
√2500+√2499<100
√2501+√2500>100
最小n=2501
8
3-1=4-2=5-3=….=101-99
1/(√3+1)>1/(√4+√2)>1/(√5+√3)>…>1/(√101+√99)
√3-1>√4-√2>√5-√3>…>√101-√99
9
(2)對
-4>-5,2>-1=>-8>4 (1)錯
-4>-5,2>-1=>-4-2>-5+1 (3)錯
-4>-5,2>-1=>-8>5 (4)錯
-4>-5=>16>25 (5)錯
10
(1)對 (5)對
3>-4 =>-1/4>1/3 (2)錯
3>-2 =>√3>√(-2) (3)錯
-3>-4 =>√(-3)^2>√(-4)^2 (4)錯