Question: The function H(x) has domain (-5,) and has a vertical asymptote at x=-5. Use the graph of H(x) to answer each question below. If

The function H(x) has domain (-5,) and has a vertical asymptote at x=-5. Use the graph of H(x) to answer each question below. If the limit is infinite, indicate that with or -. H(x) (a) H(-2)=. (b) H(1)= (c) lim H(x)=. 2+ (d) lim H(x)= 1112 (e) lim H(x)=. (f) lim H(x)=. 5+ [x (g) Estimate H(4). (h) Evaluate lim (5H(x)+2). 110 (i) List all x-values in the domain of H(x) for which the function H(x) fails to be continu- ous. f(x)+1? If so x-2 xg(x) 2. (3 points) If lim f(x)=3 and lim g(x) = 5, is it possible to evaluate lim -2 1112 evaluate the limit. If not, explain why. 3. (8 points) Use algebra to evaluate the limits below. You must show your work to earn full credit and your work will be graded. (That is, you need to write your mathematics correctly.) (a) lim (a+h)-a (b) lim h0 h 4. (4 points) Let f(x) = (2-1x

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