{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW1 - x 2 6 x-7 x 3-x 2 2 x-2 Problem 5(5 points Compute...

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

View Full Document Right Arrow Icon
MATH 102, ASSIGNMENT 1 DUE MAY 19 Problem 1. (2 points) Give an example of a function f ( x ) satisfying the indicated properties, or explain why such a function cannot exist: a) lim x 5 f ( x ) = 3, but lim x 5 - f ( x ) does not exist b) lim x 5 - f ( x ) = 3, but lim x 5 f ( x ) does not exist Problem 2. (3 points) Sketch the function y = x 2 - 6 x + 9 x - 3 Specify its domain and its range. Find the vertical and horizontal asymptotes (if any). Problem 3. (5 points) a) Compute the following limit: lim Δ x 0 + ( x + Δ x ) 3 - x 3 Δ x b) Which integers n have the property that lim x + x n = 1 ? Problem 4. (5 points) Compute the following limits: lim x 0 x 2 + 6 x - 7 x 3 - x 2 + 2 x - 2 , lim x 1 x 2 + 6 x - 7 x 3 - x 2 + 2 x - 2
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x 2 + 6 x-7 x 3-x 2 + 2 x-2 Problem 5. (5 points) Compute the following limits: lim x → √ x + 4-2 x , lim x → 5 √ x + 4-2 x , lim x → ∞ √ x + 4-2 x Problem 6. (5 points) Find the asymptotes (vertical and horizontal, if any) for the following functions: a) x √ 1-x 2 b) x + p 1 + x 2 J-RULE: Just answers - “yes”, “5” - won’t get you full marks, but (correctly) justified answers - “yes, because. ..”, “(some algebra). .. (sweat sweat) . .. (swear swear) . .. 5” - will. 1...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern