# What is the limit of #f(x)# as #x# approaches 0?

It depends on your function really.

As they get closer to zero, you can have different kinds of functions and different kinds of behaviors; for instance:

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To determine the limit of ( f(x) ) as ( x ) approaches 0, you would need to know the function ( f(x) ). Without knowing the specific function ( f(x) ), it's impossible to provide a precise answer. Limits are dependent on the function's behavior as ( x ) gets closer and closer to a particular value, in this case, 0. So, you would need to provide the function ( f(x) ) in order to calculate the limit as ( x ) approaches 0.

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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.

- For what values of x, if any, does #f(x) = 1/((x-3)(x^2-27)) # have vertical asymptotes?
- How do you find the limit of #x/(ln(1+2e^x))# as x approaches infinity?
- How do you prove the statement lim as x approaches 3 for #(x/5) = 3/5# using the epsilon and delta definition?
- How do you determine the limit of #[1/(x-2) + 1/(x+2)]# as x approaches 2+?
- What is the limit of #(5x-9)/(4x^3+1)# as x goes to infinity?

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