Can Bac Hai, Day So, Phuong Trinh, Bat Phuong Trinh

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1. Chứng minh rằng với mọi số nguyên dương n, ta luôn có :

1+

2. Cho A =

1 1 1 + + ... + > 2( n + 1 − 1) 2 3 n 1 1 1 1 + + + ... + . 1.1999 2.1998 3.1997 1999.1

Hãy so sánh A và 1,999. 3. Chứng minh rằng với mọi số nguyên dương n, ta luôn có :

1 1 1 1 + + + ... + < 2. 2 3 2 4 3 (n + 1) n 4. Giải phương trình :

x2 + 2x − 9 =

6 + 4x + 2x2

5. Giải bất phương trình :

(

)

2 x + x2 + a2 ≤

1

hungnp.tk

5a 2 x2 + a2

(a ≠ 0)

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