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2-100.

Let , and . State all horizontal asymptotes, vertical asymptotes, and holes (if any) for and .

Find horizontal asymptotes by using limits as .

Find vertical asymptotes and holes by factoring and simplifying.

Even though cancels out, there remains an in the denominator. No holes, there is a vertical asymptote at .

Find horizontal asymptotes by using limits as .

Find vertical asymptotes and holes by factoring and simplifying.