MATH - Calculus

Evaluate the following limit:

e) lim f(x)-f(a) / x - a
x->a

if f(x) = x^2 + 5

  1. 👍 0
  2. 👎 0
  3. 👁 159
  1. Are you certain that is the problem? What you have is 0/0 when evaluated

    Check the problem please, make certain you have it as assigned.

  2. yes I know, it is supposed to give 0/0 and they ask us to manipulate the limit algebraically in order to be able to factorize

    1. 👍 0
    2. 👎 0
  3. and it's the factorization that I can't seem to come up with, thanks for your quick answer too

    1. 👍 0
    2. 👎 0
  4. = lim ( x^2 + 5 - a^2 - 5)/(x-a) , as x--> a
    = lime (x+a)(x-a)/(x-a) , as x--> a
    = lim 1/(x+a) , as x--> a
    = 1/(2a)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −1 (t2 + 1)^4(t + 3)^5

    asked by Miguel on April 21, 2019
  2. Calc 1

    Evaluate the limit. lim x → 1 ln x/sin 5πx

    asked by TayB on April 26, 2015
  3. Calculus

    Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t^2-64/2t^2+17t+8 t→−8 Please show steps!

    asked by Anya on September 8, 2018
  4. Calculus

    1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the properties for limits as x

    asked by jen on September 28, 2016
  5. calculus

    evaluate each limit, if it exists Lim as x approaches -2 (x^4 - 16) / (x+2)

    asked by Anonymous on February 13, 2010
  1. Calculus

    Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x

    asked by Nathan on October 22, 2013
  2. pre-cal

    Given that lim x->c f(x)=6 and that lim x->c g(x)= -4, evaluate the following limit. Assume that c is a constant. The x in front of the f is confusing me. lim [xf(x) + 3 g(x)]^2 x->c

    asked by Randy on May 8, 2010
  3. 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

    asked by Blue on October 8, 2011
  4. Calculus

    The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to

    asked by christina on November 24, 2013
  5. Calculus

    Evaluate the limit: lim 25-(x+2)^2 / x-3 x->3

    asked by Labiba on February 25, 2012
  6. Calc

    Evaluate the limit if it exists, otherwise, write ∞,-∞ or DNE as appropriate. (you may not use the L'Hospital Rule) lim e^cosx \squareroot(tan((3)/(4)x)+10) x-> π Please show steps I am very confused!

    asked by Clay on September 9, 2018

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