Question

GhhhgggggghhgghhPlease solve

Answer 1

Answer:

-i/2

Step-by-step explanation:

Recall that i² = -1.

z² + 1 factors into (z + i)(z - i), and so the original expression reduces as follows:

    z - i               1

--------------- = --------- for z not equal to i

(z + i)(z - i)       z + i

Now attempt to find the limit as z approaches i of the above rational fraction.   The limit is

    1            1                                                                  1

--------- = ------     which, if rationalized, becomes  ------- (-i), or  -i/2

  i + i        2i                                                                2