Ta có:

a=3.026787138

b=2.0000(804375

->a>b

\(=\left[16\cdot\left(\dfrac{1}{13}-\dfrac{1}{20}+\dfrac{1}{20}-\dfrac{1}{27}+...+\dfrac{1}{62}-\dfrac{1}{69}\right)\right]:\dfrac{-112}{897}\)

\(=16\left(\dfrac{1}{13}-\dfrac{1}{69}\right)\cdot\dfrac{-897}{112}\)

\(=-\dfrac{897}{7}\cdot\dfrac{56}{897}=-8\)

cm: f(x)+f(x-1)=1

=>A=55

55

36346

c) Ta co : A=1/2^1+1/2^2+...+1/2^49+1/2^50

2A=1+1/2+1/2^2+........+1/2^48+1/2^49

A=1-1/2^50<1

Vậy A=1/2^1+1/2^2+...+1/2^49+1/2^50 <1

a) A > 1 20 + 1 20 + ... + 1 20 ⏟ 10 s o = 10 20 = 1 2 .

b)  B = 1 5 + ... 1 9 + 1 10 + ... + 1 17 < 1 5 + ... + 1 5 ⏟ 5s o + 1 8 + ... + 1 8 ⏟ 8s o = 2

c)  C = 1 10 + 1 11 + 1 12 ... + 1 18 + 1 19 < 1 10 + 1 10 + ... 1 10 ⏟ 9 s o = 1

a)  A = 1 12 + 1 13 + 1 14 + ... + 1 22 > 1 22 + 1 22 + ... 1 22 ⏟ 11 s = 11 22 = 1 2 .

b) B = 1 6 + ... 1 9 + 1 10 + ... + 1 19 < 1 4 + ... + 1 4 ⏟ 4 s o + 1 10 + ... + 1 10 ⏟ 10 s o = 2

c)  C = 1 10 + 1 11 + ... + 1 100 > 1 10 + 1 100 = ... + 1 100 ⏟ 90 s o = 1 10 + 90 100 = 1

sao mai