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How do you evaluate a limit graphically?
Examine the graph of the function as x approaches the specified value from both sides. If the y-value approaches the same value from both sides, that is the limit.
How do you evaluate a limit algebraically?
Try direct substitution first. If it results in an indeterminate form (e.g., 0/0), try factoring, rationalizing, or other algebraic manipulations to simplify the expression before evaluating the limit.
How do you handle limits that result in indeterminate forms?
Use algebraic techniques like factoring, rationalizing, or L'Hôpital's Rule (if applicable) to simplify the expression before evaluating the limit.
What is the slope formula?
$\frac{Δy}{Δx} = \frac{y_2-y_1}{x_2-x_1}$
How is a limit expressed?
$\lim_{x\to a} f(x)$
What does the graph of a function tell us about its limit as x approaches a certain value?
The graph shows the y-value that the function approaches as x gets closer and closer to the specified value. Discontinuities can affect the existence of the limit.