posted by .

For f(x)=(3x^2-5x+2)/(2x^2-6) complete the statements.

f(x)->_________ as x->-infinity
f(x)->_________ as x->infinity

In the blanks, I say for the first one infinity then -infinity for the second one.

  • Calculus -

    use an intuitive approach.
    as x becomes "very large" your numerator is dominated by the 3x^2 term and your denominator is dominated by the 2x^2 term, the other terms become less and less significant as x gets bigger

    so your function approaches f(x) = 3x^2/2x^2 = 3/2

    so the limit is 3/2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. BC Calculus

    lim x ->infinity (e^x/lnx) I got infinity/0 but is that allowed to be my answer?
  2. calculus

    If f has domain [0, infinity) and has no horizontal asymptotes, then lim_(x->infinity) f(x) = infinity or lim_(x->infinity) f(x) = -infinity. Can someone please clarify whether this statement is true or false?
  3. Calculus

    Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x)-x= infinity when it's going towards infinity, shouldn't it equal to negative infinity, since 0-infinity = - infinity lim x-> -infinity (e^x)-x= infinity
  4. MATH

    I have been trying to do this problem for a couple of days but i cant seem to get the answer. Any help would be greatly appreciated. For each of the following forms determine whether the following limit type is indeterminate, always …
  5. Math

    1. If -1/infinity = infinity or -infinity ?
  6. Math

    1. If -1/infinity = infinity or -infinity ?
  7. Please check my Caclulus

    1. Find all intervals on which the graph of y=(x^2+1)/x^2 is concave upward. A. (negative infinity, infinity) B. (negative infinity, -1) U (1, infinity) C. (negative infinity, 0) U (0, infinity) D. (1, infinity) E. none of these I …
  8. Calculus

    Sketch the graph of the function that has the following properties. f is continuous on (-infinity, infinity). points: (-1,2), (0, 0), (-1,0) f'(x)>0 at (-infinity, -1) f'(-1)=0 f'(x)<0 at (-1, 1) f'(1)=0 f'(x)>0 on (1, infinity) …
  9. Math

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

    What is the domain of f/g, given f(x)= x+2 and g(x)= x-7?

More Similar Questions