notes_8_30_07 - Section 2.4 Discontinuities Section 2.5 The...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 2.4 Discontinuities Section 2.5 The Pinching Theorem (Sandwich Theorem or Squeeze Theorem): Suppose that, for all x in some deleted neighborhood of c , ) ( ) ( ) ( x g x f x h . If L x h c x = ) ( lim , and , then . L x g c x = ) ( lim L x f c x = ) ( lim
Background image of page 1

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

View Full DocumentRight Arrow Icon
The pinching theorem is used to prove that 1 sin lim 0 = x x x for x measured in radians. See pp. 93- 94. Section 2.6 The Intermediate-Value Theorem If f is continuous on [ and K is a number between and , then there is at least one number c in the interval such that ] , b a ( a ) ( a f ) ( b f ) , b K c f = ) (.
Background image of page 2
Example 1: Use the bisection method to estimate the value of 2 to 2 decimal places.
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/27/2008 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Tech.

Page1 / 4

notes_8_30_07 - Section 2.4 Discontinuities Section 2.5 The...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online