Question

GhhhgggggghhgghhPlease solve

Answer 1

-i/2

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