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26 Apr 2018
5. (22 pts) x² - 4 x-5 if x < 2, Let g(x)= sin (1 x) if x 22. (I) Evaluate the limit or state that it does not exist. If the limit does not exist, explain why. Show your work. (Note: Possible answers include + cor -.) (a) (3 pts) lim g(x) = ; (b) (3 pts) lim g (x) = (II) (2 pts) Determine whether g has any horizontal asymptotes. If so, write the equation (or equations) of all horizontal asymptotes. (III) (4 pts) Determine whether g has any slant asymptotes. If so, write the equation (or equations) of all slant asymptotes. (IV) (2 pts) Determine whether g has any vertical asymptotes. If so, write the equation (or equations) of all vertical asymptotes. (V) (8 pts) Determine whether g is continuous at 2. Use the definition of continuity, when justifying your answer. SHOW YOUR WORK.
5. (22 pts) x² - 4 x-5 if x < 2, Let g(x)= sin (1 x) if x 22. (I) Evaluate the limit or state that it does not exist. If the limit does not exist, explain why. Show your work. (Note: Possible answers include + cor -.) (a) (3 pts) lim g(x) = ; (b) (3 pts) lim g (x) = (II) (2 pts) Determine whether g has any horizontal asymptotes. If so, write the equation (or equations) of all horizontal asymptotes. (III) (4 pts) Determine whether g has any slant asymptotes. If so, write the equation (or equations) of all slant asymptotes. (IV) (2 pts) Determine whether g has any vertical asymptotes. If so, write the equation (or equations) of all vertical asymptotes. (V) (8 pts) Determine whether g is continuous at 2. Use the definition of continuity, when justifying your answer. SHOW YOUR WORK.
Nestor RutherfordLv2
27 Apr 2018
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