Calculus

posted by .

Use continuity to evaluate. as x approaches 2, lim arctan((2x^2-8)/(3x^2-6x))

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. limiting position of the particle

    A particle moves along the x axis so that its position at any time t>= 0 is given by x = arctan t What is the limiting position of the particle as t approaches infinity?
  2. Calculus

    Note that pi lim arctan(x ) = ---- x -> +oo 2 Now evaluate / pi \ lim |arctan(x ) - -----| x x -> +oo \ 2 / I'm not exactly sure how to attempt it. I have tried h'opital's rule but I don't believe you can use it here. Any help …
  3. calculus again

    Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily that a. g is not defined at x=0 b. the limit of g(x) as x approaches equals 1 c.g is not continuous at x=0 d.g'(0) = 1 The answer is d, can someone please explain how?
  4. calculus

    Let f be a function defined by f(x)= arctan x/2 + arctan x. the value of f'(0) is?
  5. Calculus

    1.Evaluate: (1/(x*sqrt(x^2-4)) I know the answer is -1/2*arctan(2/sqrt(x^2-4)), but I am having trouble getting to this answer on my own. I know the formula to solve it is 1/a*arctan(x/a) and that a=2, but that's all I know. 2.Find …
  6. Calculus

    Evaluate the following limits. lim as x approaches infinity 6/e^x + 7=____?
  7. math

    i need some serious help with limits in pre-calc. here are a few questions that i really do not understand. 1. Evaluate: lim (3x^3-2x^2+5) x--> -1 2. Evaluate: lim [ln(4x+1) x-->2 3. Evaluate: lim[cos(pi x/3)] x-->2 4. Evaluate: …
  8. Calculus

    Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x>0... Should i use the formula e= lim as x->0 (1+x)^(1/x) or e= lim as x->infinity (1+1/n)^n Am i able to substitute in x/n for x?
  9. calculus

    if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), then evaluate the limit (3h(x)+f(x)-2g(x), assuming you know the following things about h(x): h is continuous everywhere except when x = -1 lim as x approaches infinity …
  10. Calculus

    Let f be a function defined for all real numbers. Which of the following statements must be true about f?

More Similar Questions