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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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