1. a) Use the formal definition of a limit to show lim(5 + 3x) = 2...

  1. Home
  2. Homework Library
  3. Mathematics
  4. Calculus
  5. 1. a) Use the formal definition of a limit to show lim(5 + 3x) = 2...

QuestionQuestion

Transcribed TextTranscribed Text

1. a) Use the formal definition of a limit to show lim(5 + 3x) = 20 x-+5 b) Provide a careful definition of one of the following: i)lim/(x) = 8 ii) lim f(x) L x->a+ a) If lim f(x) = L, find L b) If & = 1, find the largest 8 such that If(x) - L1kE whenever 0 Consider drawing a picture) 3. Find each limit. If the limit is +00, or does not exist, say so. a) lim 2-4 x+2. b) lim x²+4x+4 7-4 c) lim d) lim (2+h)-22 sin x h->0 4.a) Verify that h(x) is continuous at x = 0 if h(x) =( x2+2 if x <0 2 cos x - sin x if x >0 b) Define 3 specific functions (i.e. via a formula f(x) = with i) a removable discontinuity ii) a jump discontinuity iii) an infinite discontinuity, where the function is even. 5. a) Show that lim 2-2 doesn't exist. x->3 px-31 b) Use the Squeeze Theorem to find lim Vxsin2(2) x->0+ c) Show that - 0 has a solution. 6. Suppose a particle is traveling on a line and it's position at time t seconds is given by 5(1)=(1+1) a) Sketch a graph of its position function. b) Find a formula the average velocity of the particle from time t = 2 to time t = 2+h for some tiny increment of time h. c) Use limits to find the instantaneous velocity by letting h - 0

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf.

    $25.00
    for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Calculus Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats