calc

posted by .

Determine if the following functions grow faster, slower, or at the same rate as the function 2e^(2x) as x → ∞.

a. 3.2^(2x)

b. e^(x/6)

c. 1/8 e^(2x)

  • calc -

    well, since 3.2 > e, (a) grows faster

    e^(x/6) = (e^(1/12))^(2x)
    since e^(1/12) < e, (b) grows slower

    since 1/8 < 1, (c) grows slower
    However, since the ratio is a constant 1/8, you could say that the growth is the same.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)→?
  2. maths

    A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). Choose the option that best describes the long-term behaviour of the sequence. Options A un becomes arbitrarily small (that is, un → 0 as n→∞). …
  3. maths

    A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). Choose the option that best describes the long-term behaviour of the sequence. Options A un becomes arbitrarily small (that is, un → 0 as n→∞). …
  4. Math

    Please check my answers I think they are right if not please tell me where I went wrong. Thanks The annual net income of general electric for the period 2007-2011 could be approximated by P(t) = 3t^2- 24t +59 billion dollars (2<t<6) …
  5. L'Hopitals Rule

    5) Use the L’Hopital’s method to evaluate the following limits. In each case, indicate what type of limit it is ( 0/0, ∞/∞, or 0∙∞) lim x→2 sin(x^2−4)/(x−2) = lim x→+∞ ln(x−3)/(x−5) …
  6. math

    Determine the end behavior of the function as x → +∞ and as x → −∞. f(x) = 1000 − 39x + 51x^2 − 10x^3 As x → +∞, f(x) → ?
  7. calc urgent

    Note that f is continuous on (−∞, 6) and (6, ∞). For the function to be continuous on (−∞, ∞), we need to ensure that as x approaches 6, the left and right limits match. First we find the left limit. …
  8. Quick calc question

    Determine the interval on which f(x) = ln(x) is integrable. (0, ∞) [0, ∞) (−∞, 0) U (0, ∞) All reals
  9. Quick calc question

    Determine the interval on which f(x) = ln(x) is integrable. (0, ∞) [0, ∞) (−∞, 0) U (0, ∞) All reals
  10. Calculus Please Check my answers

    Which of the following functions grows the fastest as x grows without bound?

More Similar Questions