Complex Function

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shermaine

New Member
Hello,

I have got some doubts over here.
Why is the following answer 1 and -1?
lim x+j0 / x-j0 = 1
x->1,y=0


lim 0+jy/0-jy = -1
x->0,y=0

I'm confused here....
Any gd website that i can read on for understanding of complex function, complex integration , laplace transform
Pls advise.
Thanks.
 
 
it should be

lim x+j0/x-j0 =1
x-->0,y=0


lim
x=0,y-->0 0+jy/0-jy =-1


May i know what is it mean by x=0,y-->0 ?
 
shermaine said:
it should be

lim x+j0/x-j0 =1
x-->0,y=0


lim
x=0,y-->0 0+jy/0-jy =-1


May i know what is it mean by x=0,y-->0 ?

x=0,y-->0 means that x is equal to zero and y is approaching zero.

In your examples, it is trivial since lim (x+j0)/(x-j0) =1 for all x and lim
x=0,y-->0 (0+jy)/(0-jy) =-1 for all y. Note that the brackets are necessary.

In general, (a + jb)/(x + jy) = {(a + jb) (x - jy)}/(x^2 + y^2) this is called rationalising the denominator.

I'll leave it to you to do the multiplication of the two complex terms.

Len
 
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