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Proof of the Famous Inequality, Not by Calculus, but by the Binomial Theorem
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Today we are going to prove the famous inequality that contains (1+1/n)^n, which is used in the limit definition of the constant e=2.71818....
One of the most famous known methods to prove the inequality is using calculus. But here, I am going to present you the method using the binomial theorem, a theorem that is also very famous and definitely worth remembering.
#BinomialTheorem #Algebra #Inequalities #Proofs #BinomialCoefficients
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Cornerstones Of Math features quality math problems that can strengthen both your knowledge of the fundamentals of mathematics and your ability of problem-solving.
I sincerely hope that the content provided by this channel provide you some intellectual pleasure and make you appreciate the beauty of math itself.
Please consider a like to this video and subscribing to my channel, it really means a lot for the creator like me, and you can be introduced into many more math videos!
One of the most famous known methods to prove the inequality is using calculus. But here, I am going to present you the method using the binomial theorem, a theorem that is also very famous and definitely worth remembering.
#BinomialTheorem #Algebra #Inequalities #Proofs #BinomialCoefficients
----------------------------------------------------------------------------------------
Cornerstones Of Math features quality math problems that can strengthen both your knowledge of the fundamentals of mathematics and your ability of problem-solving.
I sincerely hope that the content provided by this channel provide you some intellectual pleasure and make you appreciate the beauty of math itself.
Please consider a like to this video and subscribing to my channel, it really means a lot for the creator like me, and you can be introduced into many more math videos!