Approximations and BoundsIdea · BeginnerAlgebraπ=3.14159…\pi=3.14159\ldotsπ=3.14159…2=1.41421…\sqrt{2}=1.41421\ldots2=1.41421…3=1.73205…\sqrt{3}=1.73205\ldots3=1.73205…e=2.71828…e=2.71828\ldotse=2.71828…ExamplesExample 1Prove thatπ<227.\pi<\frac{22}{7}.π<722.SolutionNumerically,π=3.14159…<227=3.142857142857…\pi=3.14159\ldots<\frac{22}{7}=3.142857142857\ldotsπ=3.14159…<722=3.142857142857…