1. Find the power series representing the function 1/ (z - 5) in the region |z - 4|

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Extracted text: 1. Find the power series representing the function 1/ (z - 5) in the region |z - 4| < 1.="" (10="" pts)="" 2.="" find="" the="" maclaurin="" series="" of="" f(x)="sinh(3x)." express="" your="" answer="" in="" the="" form="" e="" an(x="" –="" c)".="" the="" proper="" limits="" should="" also="" be="" indicated.="" (15="" pts)="" 3.="" what="" is="" the="" sum="" of="" the="" first="" two="" terms="" of="" the="" standard="" taylor="" series="" expansion="" of="" the="" function="" cos(x)="" centered="" at="" x="TT." (10="" pts)="" 4.="" find="" the="" fourier="" series="" of="" f(t)="t³" where="" t="" e="" [-4,4]="" and="" f(t="" +="" 8)="f" (t).="" (25="">