Thursday, 7 February 2013

complex analysis - Understanding e and e to the power of imaginary number

How did the value of e come from compound interest equation. What does the value of e really mean...



Capacitors and inductors charge and discharge exponentially, radioactive elements decay exponentially and even bacterial growth follows exponential i.e., (2.71)x ,why can't it be 2x or something.



Also e2 means ee ,e3 means eee
But what exactly eix mean...




I want to know how to visualise eiπ=1in graphs... I knw how to get the value of such type of equations but Im not able to understand what they actually mean....
Plz help me...

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...