Fa2009-Prelim1-solutions - Math 1110 (Fall 2009) Prelim 1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Math 1110 (Fall 2009) Prelim 1 (09/29/2009) 1 Question 1. (20 points) Please answer the following questions about the function f ( x ) whose graph is shown in the figure below. y=0 y=1 x=0 x=1 (a) Is f ( x ) a one-to-one function? Why or why not? Answer to 1a. No. (b) On which intervals between- 5 and 5 is f ( x ) increasing? Answer to 1b. [- 5,- 1 ] and [ 2,4 ) . (c) For which values of c is lim x c f ( x ) = - 1 ? Answer to 1c. c = . (d) For which values of c is lim x c + f ( x ) 6 = lim x c- f ( x ) ? Answer to 1d. c = - 1 and c = 2 . (e) At which values c between- 5 and 5 is f ( x ) continuous? Answer to 1e. Everywhere except c = - 1,2,4 . Question 2. (18 points) Please evaluate the following expressions, if they exist, or indicate that they do not. If you use a theorem or a fact about limits to help get an answer, be sure to reference it in your solution. If a limit does not exist, indicate in what way it fails to exist. For example, the one-sided limits disagree. (a) lim x 1 x 2- 6x + 5 2x 2- 2 = - 1 (b) lim x - x 2- 6x + 5 2x 2- 2 = 1 2 Math 1110 (Fall 2009) Prelim 1 (09/29/2009) 2 (c) lim x - 1 x 2- 6x + 5 2x 2- 2 = DNE (does not exist) (d) log a ( a 10 ) - log a ( 1 ) = 10 (e) lim...
View Full Document

This note was uploaded on 03/01/2012 for the course MATH 1110 at Cornell University (Engineering School).

Page1 / 4

Fa2009-Prelim1-solutions - Math 1110 (Fall 2009) Prelim 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

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