Why is The Value Of e = 2.71?

 
|||| e or 2.71 is the maximum rate at which anything growing at the rules of compound interest or successive reproduction is going to grow.

|||| Graphically, it is actually a growth rate (slope)  of 69.8 degrees.

|||| Tan(69.8) = 2.71

BUT WHY DOES COMPOUND GROWTH RATE STOP AT 69.8 degree or 2.71?

|||| Its simply because after every successive reproduction, the size of every newly generated element becomes smaller and smaller.
|||| At one point the size becomes so small that their presence become negligible.

|||| Thus the growth rate doesnt grow to infinity as shown below


and hits an upper ceiling of 2.71 or 69.8 degrees( graphically).

|||| This is represented as 'e',......which is actually tan(69.8).

REFERENCE
betterexplained.com
IMAGES FROM BETTER EXPLAINED.COM

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ABOUT

I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it. 

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

 Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most. 

The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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