2.4 (1+x)'/2 = 1 +5* (c) 1-3 3. +. 2.4.6 1-3.5...(2n – 3) +(-1)"+1 2.4.6...(2n) To +.... 1-3 1 x²+ (1+x)-1/2 = 1 - x + 2.4 · · (d) %3D 1.3.5...(2n – 1) + (-1)" - .t. x" +.... 2.4.6...(2n) 9. Prove that the inequality 2 < (1+ 1/n)" < 3 holds for all integers n > 1. [Hint: By the binomial theorem, (1+)". 1 < 1+1+ 1 2.3 1 +...+ 2.3.4...n 1 < 1 +1+ 1 +.. 22 1. 2n-1 10. Supply the missing details in the following derivation of Newton's series

2.4 (1+x)'/2 = 1 +5* (c) 1-3 3. +. 2.4.6 1-3.5...(2n – 3) +(-1)"+1 2.4.6...(2n) To +.... 1-3 1 x²+ (1+x)-1/2 = 1 - x + 2.4 · · (d) %3D 1.3.5...(2n – 1) + (-1)" - .t. x" +.... 2.4.6...(2n) 9. Prove that the inequality 2 < (1+ 1/n)" < 3 holds for all integers n > 1. [Hint: By the binomial theorem, (1+)". 1 < 1+1+ 1 2.3 1 +...+ 2.3.4...n 1 < 1 +1+ 1 +.. 22 1. 2n-1 10. Supply the missing details in the following derivation of Newton's series

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 15TI: Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take...

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