Use the graph of the function f of x equals x plus 1 over x to determine which of the following statements is true for the sequence a sub n equals the sequence n plus 1 over n . (15 points)

A) The sequence is monotonic and bounded.
B) The sequence is bounded but not convergent.
C) The sequence is unbounded but convergent.
D) The sequence is unbounded.

  1. 👍
  2. 👎
  3. 👁
  1. geez, it's a math question -- why all those words?
    f(x) = (x+1)/x

    f(x) = 1 + 1/x
    the sequence is clearly monotonic and convergent (limit = 1)

    Hmmm. Maybe you meant
    f(x) = x + 1/x
    That is clearly unbounded, since x→∞

    Next time make it clear what you mean. Words do not do well expressing math, unless you are very careful.

    Bottom line:
    It's not my job to figure out what you mean. It's your job to say it so clearly you cannot be misunderstood.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. college algebra, Please help!!

    Answer the following function. f(x)=2x^2-x-1 A. Is the point (-2,9) on the graph of f? B. If x equals 2, what is fx? What point(S) are on the graph of f? c. if f(x)= -1, what is x? what point(s) are on the graph of f? d. what is

  2. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? makes the graph narrower than the parent function. makes the graph wider than the parent

  3. Math

    Which graph represents the solution set for the inequality y≥x+1? A graph of a solid line at y equals x plus 1, with shading below the line. A graph of a dotted line at y equals x plus 1, with shading above the line. A graph of


    What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in Fig. 15-30 if the position function x(t) has the form x = xmcos(ωt + φ)? The vertical axis scale is set by vs =

  1. Math

    The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function

  2. Calculus

    1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must be true? A. The graph of f is always concave down. B. The graph of f has an inflection point at x =

  3. Algebra 2

    Graph a sine function whose amplitude is 5, period is 6π , midline is y=−2 , and y-intercept is (0, −2) . The graph is not a reflection of the parent function over the x-axis. im not so sure how i would graph this :/

  4. algebra

    3. write the function whose graph is the graph of y=sqrt of x, but is shifted to the left 3 units y=____ 4. write the function whose graph is the graph of y=|x|, but is shifted down 8 units y=___ 5. write the function whose graph

  1. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent

  2. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

  3. mathematics

    Use the graph of f(t) = 2t − 5 on the interval [−2, 10] to write the function F(x), where f of x equals the integral from 1 to x of f of t dt. Answer choices: F(x) = 2x − 5 F(x) = x2 − 5x − 4 F(x) = x2 − 5x + 4 F(x) =

  4. Algebra 1

    Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. the ordered pair (2, negative 2) ;y equals negative x minus 2. A. y equals negative 2 x.

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