# How do you use a graphing calculator to find the limit of #x^2-5x# as x approaches -1?

# lim_(x rarr -1) x^2-5x =6#

As can be confirmed by the graph: graph{x^2-5x [-2, 6, -4, 8]}

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To find the limit of x^2-5x as x approaches -1 using a graphing calculator, follow these steps:

- Turn on the graphing calculator and enter the function: x^2-5x.
- Go to the graphing mode or function plotter on the calculator.
- Set the viewing window to include the value of -1 as x approaches.
- Graph the function on the calculator.
- Look for the behavior of the graph as x approaches -1 from both sides.
- If the graph approaches a specific y-value as x approaches -1 from both sides, that y-value is the limit of the function at x=-1.

Note: Make sure to check the calculator's manual or guide for specific instructions on how to set the viewing window and graph functions.

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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.

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