# ComPLEX ANALYSIS: Find The following limits...should be easy

• Feb 16th 2009, 12:05 PM
srw899
ComPLEX ANALYSIS: Find The following limits...should be easy
1. lim as z goes 2+3i of (z-5i)^2

2. lim as z goes 2 of (z^2+3)/(iz)

3. lim as z goes 3i of (z^2+9)/(z-3i)

4. lim as z goes i of (z^2+i)/(z^4-1)

5. lim as change in z goes 0 of ((Znot + change in z)^2 - znot^2)/(change in z)

6. lim as z goes 1+2i of |z^2-1|

7. lim as z goes 0 of e^z

8. lim as z goes (2pi*i) of (e^z - E^-z)

9. lim as z goes pi*i/2 of (z+1)e^z

10. lim as z goes -(pi*i) of exp((z^2 + pi^2)/(z+pi*i))
• Feb 16th 2009, 02:43 PM
ThePerfectHacker
Quote:

Originally Posted by srw899
1. lim as z goes 2+3i of (z-5i)^2

2. lim as z goes 2 of (z^2+3)/(iz)

3. lim as z goes 3i of (z^2+9)/(z-3i)

4. lim as z goes i of (z^2+i)/(z^4-1)

5. lim as change in z goes 0 of ((Znot + change in z)^2 - znot^2)/(change in z)

6. lim as z goes 1+2i of |z^2-1|

7. lim as z goes 0 of e^z

8. lim as z goes (2pi*i) of (e^z - E^-z)

9. lim as z goes pi*i/2 of (z+1)e^z

10. lim as z goes -(pi*i) of exp((z^2 + pi^2)/(z+pi*i))

A lot of these problems can be solved by a simply substituting the values. Surly you can do that. And in the other ones treat those problems as if they were limit problems from Calculus.