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Math Help - ComPLEX ANALYSIS: Find The following limits...should be easy

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    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))
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  2. #2
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    Quote Originally Posted by srw899 View Post
    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.
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