Calculus

What does lim x-->∞ f(x)/g(x)=0 show?

a) g(x) grows faster than f(x) as x goes to infinity
b) f(g) and g(x) grow at the same rate as x goes to infinity
c) f(x) grows faster than g(x) as x goes to infinity
d) LHopital's Rule must be used to determine the true limit value

  1. 👍
  2. 👎
  3. 👁
  1. if the limit is zero, the denominator is much greater than the numerator, right?

    1. 👍
    2. 👎
  2. I answered a) in my test

    1. 👍
    2. 👎
  3. right?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Help me check my calculus answers

    1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x inf f(x)/g(x) = 5 show? - g(x) grows faster than f(x) as x goes to infinity. - f(x) and g(x) grow at the same rate as x goes to

  2. Calculus check please

    1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x (my answer) - x^20 2. Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. - f(x) grows faster than

  3. Calculus Limits

    Question: If lim(f(x)/x)=-5 as x approaches 0, then lim(x^2(f(-1/x^2))) as x approaches infinity is equal to (a) 5 (b) -5 (c) -infinity (d) 1/5 (e) none of these The answer key says (a) 5. So this is what I know: Since

  4. Calculus

    Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. f(x) grows faster than g(x) as x goes to infinity. g(x) grows faster than f(x) as x goes to infinity. f(x) and g(x) grow at the same rate as x

  1. Algebra

    Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each

  2. Check my CALCULUS answers please!

    Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t

  3. Calculus Please Check my answers

    Which of the following functions grows the fastest as x grows without bound? f(x)=x^2 g(x)=x^2+5x

  4. 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? and then say that e lim x ->0

  1. Calculus, please check my answers!

    1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 ***The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 ***2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 ***9 The

  2. Math

    Find the limit f(x) = -(x^2)/(x+3) a) lim f(x) x-3^- b) lim f(x) x-3^+ c) lim f(x) x-3 I know that a is dne because of the graph and that b is -infinity. And that c is dne because they are not the same. But I do not know how to do

  3. Calculus

    Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so far: lim 5-x/(x^2-25) = lim 5-x/(x-5)(x+5) x-->5 x-->5 lim (1/x+5) = lim 1/10 x-->5 x-->5 I just wanted to double check with someone and see if the answer is

  4. Calculus

    Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞. f(x) = { 2 - x if x ≤ 3 { -1 + 3x - x^2 if x > 3 a) lim 3+ f(x) x->3 b) lim 3- f(x) x->3 c) lim f(x) x->3 d) lim ∞ f(x) x->3

You can view more similar questions or ask a new question.