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For z = x + Iy, let f( z ) =
x
3
+
28
x
2
+
4
y
2
7
x
2
+
y
2
\displaystyle \frac{{{x}^{{3}}+{28}{x}^{{2}}+{4}{y}^{{2}}}}{{{7}{x}^{{2}}+{y}^{{2}}}}
7
x
2
+
y
2
x
3
+
28
x
2
+
4
y
2
where z
≠
\displaystyle \ne
=
0,
lim
z
→
0
f
(
z
)
\displaystyle \lim_{{{z}\rightarrow{0}}}{f{{\left({z}\right)}}}
z
→
0
lim
f
(
z
)
=
Use DNE for does not exist, oo for infinity or -oo for negative infinity.
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Enter DNE for Does Not Exist, oo for Infinity