P25 - (0 and k(0 turn out to be 2 For each function below...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Project 25 MAC 2311 YOU MUST SHOW YOUR WORK TO RECEIVE FULL CREDIT!! 1. Examine the functions f ( x ) = x 2 ln | x | and g ( x ) = e x - 1 x . Evaluate the limits lim x 0 f ( x ) and lim x 0 g ( x ) . Which indeterminate forms do these limits represent? Using the limit definition of the derivative, show that each of the functions below are differentiable (and hence also continuous) at 0. h ( x ) = x 2 ln | x | x 6 = 0 0 x = 0 k ( x ) = e x - 1 x x 6 = 0 1 x = 0 What do each of the values
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (0) and k (0) turn out to be? 2. For each function below, write the indeterminate form that it represents , then evaluate the limit using the techniques learned in class. The answer to each is given to help you. .. a) lim x → 1 + ± 1 ln( x )-1 x-1 ² = 1 2 b) lim x → (1 + x + tan(2 x )) 1 x = e 3 c) lim x →∞ 1 + ln( x ) ln(1 + x + x 2 ) = 1 2...
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