posted by .

Hey, we covered limits at the beginning of the year, but I cannot remember how to do them at all.
>>>what is the limit, as x approaches 2, of ((1/x )-(1/2))/(x-2)?

Please go step by step!

  • Calculus -

    f= (1/x-.5)/(x-2)

    as x>>2, (1/2=1/2)/(2-2) so it is of the form 0/0, so use LHopitals rule

    as x>>2= (-1/x^2)/(1)= -1/4 / 1= -1/4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them?
  2. Algebra help

    f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this?
  3. Calculus

    Could someone please help me with these questions;I was having trouble with these four questions. Evaluate each limit, if it exists, using any appropriate technique. 1.) The limit as u approaches 4; u^2-16/u^3-64 2.) The limit as x …
  4. calculus

    I need a step-by-step limit definition of derivative for y = ln(x).
  5. Calculus

    Determine the limit of the trigonometric function: Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx) I need step by step help using the special trignometric limits theorem.
  6. Quick math help

    In which step below does a mistake first appear in simplifying the expression?
  7. Calculus

    Determine the behavior of limits A. Limit as x approaches 1 of: (log x)/((x-1)^2) B. Limit as x approaches infinity of: ((x-1)^2)/(log x))
  8. Help with one limit

    I'm asked to find the limit as n approaches infinity of : [(2^(n) +1]/ [2^(n+1)]. The review we were given has [1+ 2^(-n)] / 2 as the next step, but I'm not quite sure how to make that leap myself. The final answer is 1/2. How do you …
  9. calculus help

    find derivative of integral( t sint dt) upper limit 1+2x, lower limit 1-2x Show step by step please! Thank you
  10. Calculus

    I don't know limits fairly well. The problem is prove the limit using definition 6, lim x -> -3, 1 / (x+3)^4 = infinity. The books definition for definition 6 is, let f be a function defined on some open interval that contains a, …

More Similar Questions