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What is e^x?

The number e is a mathematical constant or also known as Euler's number constant.

The constant e is real and irrational number represented by a greek letter (lower case "e").

What is the value of e in mathematices?

The number e is a mathematical constant or also known as Euler's number constant.

The constant e is real and irrational number represented by a greek letter (lower case "e").

Its value is e = 2.72 (approximate)

Properties of e

Here are some properties of "e" 1 - The constant e is real and irrational number 2 - Natural logarithms is represented with base "e". 3 - e^x is called the (natural) exponential function. 2 3 4 x x x x 4 - e = 1 + x + --- + --- + --- + . . . 2! 3! 4!

5 - The approximate value of constant e is 2.71828.

Prove that e = 2.27 ? What is defination of e?

The e constant has an infinite number of digits. The value of e can be calculated as

1 2 3 4 x x x x x e = 1 + --- + --- + --- + --- + . . . 1 2! 3! 4! ∞ 1 --- e = \ 1 / --- --- n! n=0 1 1 1 = 1 + --- + --- + ----- + ... 1 2.1 3.2.1 = 1 + 1 + 0.5 + 0.1667 + ... = 2.72(approximate)

Note :

The numerical value of e truncated to 50 decimal places is 2.71828182845904523536028747135266249775724709369995

0 What is value of e ?

x 0 e (when x = 0) = e (because we know any non zero number raised to the power 0 is 1) 0 Therefore e = 1

2 3 4 5 Values of e , e, e, e .... are as following

x 2 e (when x = 2) = e = 7.39 x 3 e (when x = 3) = e = 20.09 x 4 e (when x = 4) = e = 54.60 x 5 e (when x = 5) = e = 148 x 6 e (when x = 6) = e = 403 x 7 e (when x = 7) = e = 1,097 x 8 e (when x = 8) = e = 2,981 x 9 e (when x = 9) = e = 8,103 x 10 e (when x = 10) = e = 22,026 x 11 e (when x = 11) = e = 59,874 x 12 e (when x = 12) = e = 162,755 x 13 e (when x = 13) = e = 442,413 x 14 e (when x = 14) = e = 1,202,604 x 15 e (when x = 15) = e = 3,269,017 x 16 e (when x = 16) = e = 8,886,110 x 17 e (when x = 17) = e = 24,154,952 x 18 e (when x = 18) = e = 65,659,969 x 19 e (when x = 19) = e = 178,482,300 x 20 e (when x = 20) = e = 485,165,195 x 21 e (when x = 21) = e = 1,318,815,734 x 22 e (when x = 22) = e = 3,584,912,846 x 23 e (when x = 23) = e = 9,744,803,446 x 24 e (when x = 24) = e = 26,489,122,129 x 25 e (when x = 25) = e = 72,004,899,337 x 26 e (when x = 26) = e = 195,729,609,428 x 27 e (when x = 27) = e = 532,048,240,601 x 28 e (when x = 28) = e = 1,446,257,064,290 x 29 e (when x = 29) = e = 3,931,334,297,139 x 30 e (when x = 30) = e = 10,686,474,581,513 x 31 e (when x = 31) = e = 29,048,849,665,215 x 32 e (when x = 32) = e = 78,962,960,182,591 See also our separate table for fractional powers of e*x), which is convenient for some Poisson problems.

e's value by scientific calculator

No need to remember these all values of e (e^2 , e^3, e^4, e^5 etc.) just clear this concept in your mind. Because can use your scientific calculator to get these values of e.

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