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Limits and Continuity

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Find Lim g(x) x>1+ , Lim g(x) x>1- , Lim g(x) x>1
Find g(1)
Is g continuous at x=1? Why, why not?
Find Lim x>-2
Find g(-2)
Is g continuous at x= -2? Why, Why not?

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Limits and continuity are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.