Lecture 2_5 Ma 141

Lecture 2_5 Ma 141 - Lecture Math 141 Section 2.5 Limits...

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

View Full Document Right Arrow Icon
Lecture Math 141 Section 2.5 – Limits involving infinity Two main types I. Taking a limit as the x goes to some value and the function goes to e The book calls this “infinite limits”, p. 128. This is how we define vertical asymptotes. Example: Consider the function f ( x ) = x + 3 x 2 - 9 we’ll use this function for a few ideas. First consider the limits as the x value approaches 3 lim x 3 x + 3 x 2 - 9 = Second consider the limit as the x values approach -3 lim x - 3 x + 3 x 2 - 9 = Draw a preliminary graph, be sure to note what is different about the function at the two x-values for which you just took the limits. II. Taking the limit as the independent variable (usually the x) goes to to e The book calls this “limits at infinity” p. 131 These type help us find horizontal asymptotes. Example: We’ll keep working with the function f ( x ) = x + 3 x 2 - 9
Background image of page 1

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

View Full DocumentRight Arrow Icon
Consider the limits at both e lim x x + 3 x 2 - 9 = lim x - x + 3 x 2 - 9 = Now, draw a final graph incorporating what these limits “tell you” about the
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

Lecture 2_5 Ma 141 - Lecture Math 141 Section 2.5 Limits...

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