[ Numerical inequalities. Comparing numbers.]

What is greater: $(1.01)^{1000}$ or 1000?
According to Bernoulli's inequality (see problem $\underline{30899})(1.01)^{40}>1.4$. Therefore, $(1.01)^{1000}>(1.4)^{25}>(1.4)^{24}>$ $(1.9)^{12}>(3.6)^{6}>10^{3}=1000$.

## Answer

$(1.01)^{1000}$.