1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculus: Limits

  1. Jun 27, 2015 #1
    1. The problem statement, all variables and given/known data
    Given that
    lim f(x) = -4 and lim g(x) = 6
    (All limits x --> +infinity)

    Find the limit
    lim [f(x) + 2g(x)]


    2. Relevant equations

    3. The attempt at a solution
    So I substituted the values of f(x) and g(x) in the equation

    =[(-4) + 2(6)
    the limit is = 8

    Did I do it right?
     
  2. jcsd
  3. Jun 28, 2015 #2

    Nathanael

    User Avatar
    Homework Helper

    Yep
     
  4. Jun 28, 2015 #3
    Thanks! It was a wiley assignment and I thought I did it wrong xD
     
  5. Jun 28, 2015 #4

    PeroK

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    What else could the limit possibly be?
     
  6. Jun 28, 2015 #5
    Sorry! I was just making sure.
     
  7. Jun 28, 2015 #6

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    You should know from basic properties of limits that
    1) For any constant A, as long as lim f(x) exists, then so does lim Af(x) and the limit is A(lim f(x)).
    2) As long as lim f(x) and lim g(x) exist, then so does lim f(x)+ g(x) and the limit is lim f(x)+ lim g(x).

    Those two together give the result you want.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Calculus: Limits
  1. Calculus: Limits (Replies: 4)

  2. Calculus limits (Replies: 6)

  3. Calculus limit (Replies: 11)

  4. Calculus: Limits (Replies: 6)

Loading...