Evaluating limits algebraically

Direct substitution, factoring, rationalizing, and the special trig limits.

Standards:AP Calc AB · Unit 1

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Evaluate the limit: $$\lim_{x \to 2} \frac{x² - 5x + 6}{x - 2}$$

Question 2 of 3

Evaluate the limit: lim(x→2) (x³ - 8)/(x - 2)

Question 3 of 3

Evaluate: $\lim_{x \to -3} \frac{x² + 2x - 3}{x + 3}$

How this fits in

Evaluating limits algebraically is one skill in the Intro to Calculus unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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