Evaluate \displaystyle\lim{x \to 3}\left(2x^2 - 5x + 1\right).

4 The polynomial is continuous everywhere, so direct substitution works: 2(9) - 5(3) + 1 = 18 - 15 + 1 = 4.

Determining Limits Using Algebraic Properties

AP Calculus AB· difficulty 1/5

\displaystyle\lim_{x \to 3}\left(2x^2 - 5x + 1\right)

Explanation

2(9) - 5(3) + 1 = 18 - 15 + 1 = 4

Want 10 more like this — adaptive to your weak spots?