limits for test review

Question

Answer 1

3)

a)

Find the limit:

Comments

How did you determine that limit is 1/x? im so confused

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if x  tends to infinity means 1/x tends to 0, so substitute 0 for 1/x

Answer 2

3)

b)

Find the limit:

Answer 3

3)

c)

Find the limit:

We can conclude that the limit does not exist because the numrator increases without bound while the denominator approaches nagative 3.