Calculus

posted by .

If the function f is defined by f(x)=x^2-2x, find limit h->0
(f(3+h)-(f(3-h))/2h

  • Calculus -

    first, f(3+h)=(3+h)^2 -2(3+h)
    = 9+6h+h^2-6-2h = h^2+4h+3= (h+3)(h+1)
    second f(3-h)=(3-h)^2 -2(3-h)=
    = 9-6h+h^2-6+2h=h^2-4h+3=(h-3)(h-1)

    so first -second then is
    h^2-h^2+4h+4h +3-3=8h

    finally, lim 8h/2h=4

    check all that.

  • Calculus -

    Thank you for your help!

    For the second part I thought it would be -(9+6h-h^2)-6+2h?

  • Calculus -

    you put a minus sign in front of the first term? Why?

  • Calculus -

    and, the 6h term in (3-h)^2=9-6h+h^2

  • Calculus -

    (f(3+h)-(f(3-h))/2h

    I put a minus sign because it has a negative in front of the f(3-h) so it's -(f(3-h))

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus help please

    hi what is lim as x reaches one of the function x/LN(x) is it one or does the limit it not exist. hi what is limit as x reaches one of the function x/LN(x) is it one or does the limit it not exist. Have you tried graphing it?
  2. Calculus

    f(x) = {x^3 - 1, x> or equal to -1 {2x,x<-1 find limit x->-1 f(x) What steps do I follow to solve the limit of the piecewise function?
  3. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous?
  4. Calculus

    Give an example of a function f which is defined at c which limit as x approaches c of f(x) exists, but that limit does not equal f(c).
  5. Calculus, need help again...

    If the function f is defined by f(x)=x^2-2x, find limit h->0 (f(3+h)-(f(3-h))/2h
  6. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k?
  7. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k?
  8. Calculus

    Suppose you have a rational function that its denominator is (X-c) and numerator can be any function. Suppose you need to find the limit of this rational function given as x goes to value c. Can you always say that for this problem …
  9. calculus

    1)A function g is defined for all real numbers and has the following property: g(a+b) - g(a) = 4ab+2b2 find g'(x) A)4 B)-4 C)2x^2 D)4x E)does not exist not so sure where to start 2)If d/dx[f(x)] = g(x) and d/dx[g(x)] = f(3x, then d^2/dx^2 …
  10. Clueless in calculus

    The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5<or=x<or=-3)and …

More Similar Questions