Let f(z) be the function defined by Z|2| 2 0 f(z) = if z = 0, if z = 0. 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let f(z) be the function defined by
Z|2|
if z 0,
2
Ỗ if z = 0.
0
f(z)
=
1. Use the e, & definition to show that f is continuous at z = 0.
2. Are the Cauchy-Riemann equations satisfied at z = 0?
Transcribed Image Text:Let f(z) be the function defined by Z|2| if z 0, 2 Ỗ if z = 0. 0 f(z) = 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?
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