CalcNotes0204-page3

# CalcNotes0204-page3 - : More generally; c is a real...

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

(Section 2.4: Limits and Infinity II) 2.4.3 PART B : THE LIMIT FORMS 1 0 + AND 1 0 ± Example 1 showed us that lim x ± 0 + 1 x = ² , and lim x ± 0 ² 1 x = ²³ . More generally, it is true that, for functions N and D , Nx () Dx () ±² if Nx () ± 1, and Dx () ± 0 + ² ³ ´ µ . This is true whether we are considering all of the indicated limits as x ±² , as x ±²³ , or as x ± a (or as x ± a + , or as x ± a ² ) for some real constant a . Also, Nx () Dx () ±²³ if Nx () ± 1, and Dx () ± 0 ² ³ ´ µ . In summary
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: : More generally; c is a real constant : Limit Form 1 + . Limit Form c + , if c > . Limit Form 1 . Limit Form c , if c > . The Sign Variants are as Expected : More generally; c is a real constant : Limit Form 1 + . Limit Form c + , if c < . Limit Form 1 . Limit Form c , if c < ....
View Full Document

## This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

Ask a homework question - tutors are online