Precalc0105to0107-page10

Precalc0105to0107-page10 - (Section 1.5: Piecewise-Defined...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.10 Example 8 (Finding Limits; Revisiting Examples 1 and 2) Let the function f be defined by: fx () = x 2 , ± 2 ² x < 1 x + 1, 1 ² x ² 2 ³ ´ µ While f 1 = 1 + 1 = 2 , the left-hand limit lim x ± 1 ² = 1 . • When evaluating this left-hand limit, we only care about values of x that are close to 1 and less than 1. The top rule, = x 2 , is the only rule that applies to those x values. Therefore, lim x ± 1 ² = lim x ± 1 ² x 2 , which we can compute by evaluating x 2 at 1: lim
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online