# How do you use a graph to determine limits?

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To use a graph to determine limits, you can follow these steps:

- Examine the graph around the point where you want to find the limit.
- Observe the behavior of the function as it approaches the point from both the left and right sides.
- If the function approaches a specific value as x approaches the point from both sides, then that value is the limit.
- If the function approaches different values from the left and right sides, or if it approaches infinity or negative infinity, then the limit does not exist at that point.
- You can also use the graph to estimate the limit by looking at the y-values of the function as x gets closer and closer to the desired point.

Remember that a graph can provide visual insights into the behavior of a function, but it is important to verify your findings algebraically if possible.

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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.

- How do you evaluate the limit #2t^2+8t+8# as t approaches #2#?
- How do you use the epsilon delta definition to prove that the limit of #x/(6-x)=1# as #x->3#?
- How do you find the x values at which #f(x)=csc 2x# is not continuous, which of the discontinuities are removable?
- How do you find the limit of #(e^x - e^-x - 2x) / (x - Sinx)# as x approaches 0?
- How do you evaluate the limit #(1/(x+2)-1/2)/x# as x approaches #0#?

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