Precalculus

posted by .

How would I find the limit of (if it exists):

lim x-->3 (x^3-27)
--------
(x^2-9)

  • Precalculus -

    It might look better this way...

    lim x-->3 (x^3 -27)/(x^2 -9)

  • Precalculus -

    it factors

    lim x-->3 (x^3 -27)/(x^2 -9) ax x--->3
    = lim [(x-3)(x^2 + 3x + 9)]/[(x+3)(x-3)]
    = lim (x^2 + 3x + 9)/(x+3)
    = (9+9+9)/(3+3)
    = 9/2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. limit calc question

    2 questions!!! 1. Limit X approaching A (X^1/3-a^1/3)/ x-a 2. LiMIT x approaching 0 (1/3+x – 1/3) /x On the first, would it help to write the denominator (x-a) as the difference of two cubes ((x^1/3 cubed - a^1/3 cubed) second. use …
  2. Precalculus

    How would I find the limit of (if it exists): lim x-->infinity (4x -3)/(2x +1)
  3. Calulus Completely lost

    Find the indicated one-sided limit, if it exists 1.lim f(x) and lim f(x), where x->0^+ x->0^- 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0]
  4. Math

    Find the indicated one-sided limit, if it exists 1.lim f(x) and lim f(x), where x->0^+ x->0^- 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0]
  5. Calculus

    Find the positive integers k for which lim ->0 sin(sin(x))/x^k exists, and then find the value the limit. (hint:consider first k=0, then k=1. Find the limit in these simple cases. Next take k=2 and finally consder k>2 and find …
  6. Calculus 3

    Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2-x^2 as (x,y) approaches the point (-1,1).
  7. Calculus 3

    Find the limit, if it exists, or show that the limit does not exist. lim of x+y/y^2-x^2 as (x,y) approaches the point (-1,1).
  8. Calculus

    Evaluate each limit. If it exists. a) Lim x^3 + 1 x->1 ------- x + 1 b) Lim 3x^2 - x^3 x->0 ---------- x^3 + 4x^2 c) Lim 16 - x x->16 --------- (√x) - 4
  9. Check my CALCULUS work, please! :)

    Question 1. lim h->0(sqrt 49+h-7)/h = 14 1/14*** 0 7 -1/7 Question 2. lim x->infinity(12+x-3x^2)/(x^2-4)= -3*** -2 0 2 3 Question 3. lim x->infinity (5x^3+x^7)/(e^x)= infinity*** 0 -1 3 Question 4. Given that: x 6.8 6.9 6.99 …
  10. calculus1

    Find limit if exists 1. Lim x goes to 0 x^2cos(1/x^3) 2.lim x goes to 1 to the left 4x/x^2+2x-3 3. Lim x goes to π to the right cscx

More Similar Questions