a) Evaluate the following using theorems on limits. i) lim z→1+i (z^2− 5z + 10) ii) lim z→2i [(2z+3)(z-1)]/(z^2-2z+4)
Added by Stephanie M.
Step 1
We can directly substitute the value of z into the expression: lim (z^2 - 5z + 10) as z→1+i = ((1+i)^2 - 5(1+i) + 10) Now, let's simplify the expression: (1+i)^2 = (1+i)(1+i) = 1 + 2i + i^2 = 1 + 2i - 1 = 2i 5(1+i) = 5 + 5i So, the expression becomes: (2i - Show more…
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