What are the asymptote(s) and hole(s), if any, of # f(x) =(1+1/x)/x#?
Now we calculate the horizontal asymptotes. I will write an answer that doesn't involve calculus and then an answer that does involve calculus.
No Calculus
Calculus
This confirms what we found above without any calculus.
Practice exercises
Hopefully this helps, and good luck!
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The function f(x) = (1+1/x)/x has a vertical asymptote at x = 0 and a hole at x = -1.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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