We consider the function f defined by f() _. = + 5| -4 for z # +1 Our goal is to understand the behavior of f near = =_ Note that 1 > -5 and -1 > -5. So to evaluate the limits, we can restrict ourselves to the region z > -5. a) If I > -5, then |3 + 5/ = FORMATTING: Your answer should not have an absolute value. Therefore, for I > -5, we can simplify the function f to eliminate the absolute value. b) We want to simplify this function further. Select which strategy you will use next Factoring Partial fraction decomposition O log transformation O Rationalization After applying your strategy, what does your simplified f (a ) look like now? f(2) = c) Using this simplified form for f that we have found in b we find that lim f(2) = FORMATTING: Write diverges if the d) Again, using this simplified form for f. we find t lim f(2) = FORMATTING: Write diverges if the in