Section_1.4_Day_1_Notes

# Section_1.4_Day_1_Notes - 1 Calculus AP—AB Section 1.4...

This preview shows pages 1–5. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 8/26/201 1 Calculus AP—AB August 26, 2011 Section 1.4 ' Limits approach from both sides!’ If the two sides doh’t. match, the limit does not exist, unless. you only want to, or are able to approach from one side ‘. __ ~ 4 F 4' Objective: Evaluate one—sided limits a- Begin by ignoring the left and right hand limit when you plug in,_ but sometimes it matters: Square roots Absolute value Piecewise functions Greatest integer functions 8/26/2011 Does the function exist left of 1? Does the limit exist at 1? lim |x—1i+2= 7, :H iim lx—1i+2: ’Z/ \¥I 11:31l |x—ii+2: 1/ w/0 3'41?" N“?"*“ I?” ‘3 PEQQE uﬁSﬂ “mufﬁn xr' *1 X7. "m ... [M xLI_“»‘ y-xpi 4Xh1){1 )Lél [3M —)LJ‘3 :21 8/26/2011 Does the requested limit exist? Greatest integer function llxllr the greatest integer less than or equal to x Think “left of” each integer on a numberline 8/26/2011 Does the limit exist at 2? At 1? Definition of Continuity Continuity at a point: A function f is continuous at x : c, if 3 conditions are met. 1 .f(c) exists 2. lim f(x) exists x—ar i 3. 1imf(x) = f(c) % 63/269011 ...
View Full Document

## This note was uploaded on 09/19/2011 for the course CALCULUS 1431 taught by Professor All during the Fall '11 term at University of Houston.

### Page1 / 5

Section_1.4_Day_1_Notes - 1 Calculus AP—AB Section 1.4...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online