Number e and Related Ideas

e = lim(n→∞)(1 + 1/n)ⁿ

e lies between 2 and 3

e is an irrational number

Exponential Series

e = 1 +x/1! +x²/2!+x³/3!+...+∞

Exponential theorem

Let a is greater than 0.

for all real values of x,

a^x = 1 + x(log_ea) + (x²/2!)(log_ea)²+x³/3!(log_ea)³+...+∞

Relations of e (e-1, e-2 etc.)

n= 0 to ∞Σ1/n! = e

n= 1 to ∞Σ1/n! = e-1

n= 2 to ∞Σ1/n! = e-2

n= 0 to ∞Σ1/(n+1)! = e-1

n= 1 to ∞Σ1/(n+1)! = e

10. Exponentail and Logarithmic Series - Revision Facilitator

Try to recollect relevant points on the topic.

If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.



1. Number e and Related Ideas

2. Exponential series

3. Exponential theorem

4. Some deductions from exponential series

5. Relations of e (e-1, e-2 etc.)

6. Logarithmic series