4. Use the € & definition of limit to show that lim (2z+3i) = 2 + 5i. z+1+i

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 61E
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4. Use the € - 8 definition of limit to show that lim (2z+3i) = 2+5i.
z+1+i
5. Show that the limit lim
-5
2-52-5
does not exist.
6. Show that the function f(z) = |z − 2 − 3i|² is not differentiable anywhere
except z = 2+ 3i.
Transcribed Image Text:4. Use the € - 8 definition of limit to show that lim (2z+3i) = 2+5i. z+1+i 5. Show that the limit lim -5 2-52-5 does not exist. 6. Show that the function f(z) = |z − 2 − 3i|² is not differentiable anywhere except z = 2+ 3i.
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