calculus - limits

posted by .

limit as x approaches infinity; tan^(-1) (x^2 - x^4)

any help is appreciated =D

  • calculus - limits -

    I am going to use an intuitive approach

    let theta = tan^-1 (x^2 - x^4)

    or tan(theta) = x^2 - x^4
    now as x---> ∞ the right side of the above equation ---> - ∞

    I know that tan 90º or tan(pi/2) is undefined, but as I approach 90º or pi/2
    the tangent value becomes infinitely large positively,
    and the tangent of -90º or -pi/2 becomes -infinitely large.

    limit tan^(-1) (x^2 - x^4) as x ---> ∞
    = -pi/2

    set your calculator to radians
    enter a huge number, multiply it by -1, then enter
    2nd Tan
    I got -1.570796 or - pi/2

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

    what is the answer for the integral of (1/(xln(x)) from 1 to infinity?
  3. 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?
  4. Algebraic limits

    The limit as x approaches infinity. (1)/(5^x) The limit as x approaches 1. (1-x^3)/(2-sqrt(x^2-3)) Show your work thanks in advance!
  5. Math - Beginning Calculus

    Why does lim10^(3-x) as x approaches infinity = 0?
  6. calculus

    What is the limit of the function as x approaches infinity?
  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. Calculus

    Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)-f(x)/h , will I get an x in the answer?
  9. Calculus-limits

    I'm studying for the AP exam and I can't figure this problem out. I thought the answer was negative infinity but that isn't an option. Thank you in advance! What is the limit as x approaches infinity of (9x-x^2-7x^4)/(x^3+12x)?
  10. Math

    Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

More Similar Questions