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. Find
value and hence deduce the
when
here my calculations are
.......
Is that above answer is true?
But I saw in other way likeand then
bt I couldn't understand this..
(0.5+ 0.2i)^2= 0.5^2- 0.2^2+ (2(0.5)(0.2))i= 0.21+ .2i so (0.5+ 0.2i)+ 2i= 0.21+ 2.2i. You seem to have dropped the hundredths place and that might be important.Originally Posted by dhammikai
Let
here my calculations are
If you think of a+ bi as represnting a point, (a, b) in the "complex plane", then it can also be written in polar coordinates with distance from the origin r and angle [itex]\theta[/itex]. Of course,
.......
Is that above answer is true?
But I saw in other way likeand
so
But it is also true that [tex]e^{i\theta}= cos(\theta)+ i sin(\theta) so that can be written as
. Then
,
, etc.
Unfortunately, that "polar form" doesn't work well with addition so you would have to change back each time to add the "2i".
In fact, that recursion formula is the one used in calculating Julia sets and the Mandelbrot set so I don't see any method other than 'brute strength" calculation nor do I see that knowingwill tell you very much about the limit as n goes to infinity.
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