The continuity of $f(z)=left{begin{smallmatrix}frac1{|z|^2}(operatorname{Re}z)^2(operatorname{Im}z);&zne...
It is an advance complex question… Need you suggestion kindly help me to describe the continuity of this $f(z)$ at all point of $mathbb C$.
complex-analysis continuity
edited Nov 26 at 2:19
Saad
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
add a comment |
It is an advance complex question… Need you suggestion kindly help me to describe the continuity of this $f(z)$ at all point of $mathbb C$.
complex-analysis continuity
edited Nov 26 at 2:19
Saad
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59
add a comment |
It is an advance complex question… Need you suggestion kindly help me to describe the continuity of this $f(z)$ at all point of $mathbb C$.
complex-analysis continuity
edited Nov 26 at 2:19
Saad
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
It is an advance complex question… Need you suggestion kindly help me to describe the continuity of this $f(z)$ at all point of $mathbb C$.
complex-analysis continuity
complex-analysis continuity
edited Nov 26 at 2:19
Saad
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
edited Nov 26 at 2:19
Saad
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
edited Nov 26 at 2:19
Saad
19.7k92252
edited Nov 26 at 2:19
Saad
19.7k92252
edited Nov 26 at 2:19
Saad
19.7k92252
19.7k92252
asked Nov 26 at 1:55
Fiza Irshad
62
asked Nov 26 at 1:55
Fiza Irshad
62
asked Nov 26 at 1:55
Fiza Irshad
62
62
I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59
add a comment |
I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59
I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59
I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59
add a comment |
1 Answer
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Write $z=x+iy$ and so the top part of the equation becomes $f(x+iy)=frac{x^2y}{x^2+y^2}$. Can you use this to determine the continuity of $f$ at $z=0$? i.e. when $(x,y)=(0,0)$?
answered Nov 26 at 2:45
thedilated
1,0491615
add a comment |
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1 Answer
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active
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Write $z=x+iy$ and so the top part of the equation becomes $f(x+iy)=frac{x^2y}{x^2+y^2}$. Can you use this to determine the continuity of $f$ at $z=0$? i.e. when $(x,y)=(0,0)$?
answered Nov 26 at 2:45
thedilated
1,0491615
add a comment |
Write $z=x+iy$ and so the top part of the equation becomes $f(x+iy)=frac{x^2y}{x^2+y^2}$. Can you use this to determine the continuity of $f$ at $z=0$? i.e. when $(x,y)=(0,0)$?
answered Nov 26 at 2:45
thedilated
1,0491615
add a comment |
Write $z=x+iy$ and so the top part of the equation becomes $f(x+iy)=frac{x^2y}{x^2+y^2}$. Can you use this to determine the continuity of $f$ at $z=0$? i.e. when $(x,y)=(0,0)$?
answered Nov 26 at 2:45
thedilated
1,0491615
Write $z=x+iy$ and so the top part of the equation becomes $f(x+iy)=frac{x^2y}{x^2+y^2}$. Can you use this to determine the continuity of $f$ at $z=0$? i.e. when $(x,y)=(0,0)$?
answered Nov 26 at 2:45
thedilated
1,0491615
answered Nov 26 at 2:45
thedilated
1,0491615
answered Nov 26 at 2:45
thedilated
1,0491615
answered Nov 26 at 2:45
thedilated
1,0491615
1,0491615
add a comment |
add a comment |
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I've edited your title to look more readable (although not perfect). You can edit your question (click "edit" just below it to do so) to actaully write out the function in the question itself, and describe your own work so far on the problem, so that we know how much you know, and can be more helpful.
– John Hughes
Nov 26 at 1:59