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時間複雜度 Big-oh的判斷問題

Nov 3rd 2013, 08:05

各位大師好
我在做完big-oh的題目後，還有四題題目答案不知道是否正確...
麻煩幫我解釋一下他們的big-oh or theta 是多少?
如果可以的話附上簡單證明
有助於我了解...

題目:
1. 2n^2-2^n+1 O( )=?
2. 5n^3+2^n-1 O( )=?
3. 4*(log x)^2+3x+1 O( )=?
4. 2n^2+5n log n+2^2=theta(n^2) 正確或是錯誤? 如果錯誤則答案是多少

以下是我認為的解答，不過好像都怪怪的
1. O(2^n)
2. O(2^n)
(前兩題我認為2^n的成長幅度都比n^2,n^3還大...)
3,4題我不知道如何判斷

謝謝

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