Find the limit as it approaches zero. ( f( x + change in x) - f(x) )/ change in x given f(x)=2x-5.
( change in x = triangle x)

  1. 👍
  2. 👎
  3. 👁
  1. f+dx = 2(x+dx) - 5

    = 2 x + 2 dx -5

    f(x) = 2 x - 5

    ((f(x+dx) - f(x)) = 2 dx

    divide by dx

    = 2

    no need to approach 0 with this, the slope of a straight line is constant.

    by the way the derivative of 2 x - 5 is 2

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x? a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity b. f(x) approaches negative

  2. Calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) limit n approaches infinity of an = e^(−6/sqrt(n))

  3. Calculus

    Find the derivative of the following functions using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h a)ƒ(x) = x2 + 5^x b)ƒ(x)= 1/2^x

  4. Calculus

    Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true? Which must be false? Justify your answers. (a) lim of f(x) as x approaches a = f(a) (b) If the lim of

  1. 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

  2. Calculus

    The table below gives selected values of a twice differentiable function f(x) x|. -7. -6. -4. -2. f(x)|. 0. -1. -2. 0 f'(x)|. 3. 2. -1. 7 What is the limit of f(3x-1)/(x^2)-4 as x approaches -2? What is the limit of f(f(x))/5x +

  3. Math

    If the limit as x approaches 1 for (f(x) - 7)/(x-1)=8, evaluate the limit as x approaches 1 for f(x)

  4. Calculus

    Find the limit of the function algebraically. lim x approaches 0 (-7+x)/x^2

  1. physiology

    Assume that fluid enters the distal convoluted tubule with an osmolarity of 100 mOsm and that the maximum osmolarity of medullary interstitial fluid is 1100 mOsm. As plasma ADH levels rise, the osmolarity of the urine a)

  2. Calculus

    Find the limit lim as x approaches (pi/2) e^(tanx) I have the answer to be zero: t = tanx lim as t approaches negative infi e^t = 0 Why is tan (pi/2) approaching negative infinity is my question?

  3. Math

    Suppose f and g are continuous functions such that g(3) = 2 and the limit as x approaches 3 of [3f(x) + f(x)g(x)] = 15. Find f(3).

  4. Calculus

    What is the limit of this function as x approaches 0? cos(x) - 1 / x From what I gather, the limit is equal to 0, since on the right, the function approaches from negative values close to zero and on the left, it approaches 0 with

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