a, \(\left(1+\dfrac{1}{2}\right)\left(1+\dfrac{1}{2^2}\right)\left(1+\dfrac{1}{2^3}\right)\left(1+\dfrac{1}{2^4}\right)-\left(1+\dfrac{1}{2^{50}}\right)< 3\)

b, \(\dfrac{1}{2}-\dfrac{1}{2^2}+--.+\dfrac{1}{2^{99}}-\dfrac{1}{2^{100}}< \dfrac{1}{3}\)

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