Calculus

Use the definition of continuity and properties of limits to show that the function is continues at given a.

f(x)=x^2+sqrt(7-x) a=4

  1. 👍 0
  2. 👎 0
  3. 👁 149

Respond to this Question

First Name

Your Response

Similar Questions

  1. math help!!!

    stuck!! pls help/explain!!! 2. Do the values in the table represent a linear function? If so, what is the function rule? (1 point) x = -2, 0, 2, 4 y = -4, 0, 4, 8 The values do not show a linear function. Yes, they show a linear

  2. science

    1) What conclusions can be drawn about the relationship between the arrangement of elements on the periodic table and the patterns observed in their properties? :Properties of elements are related to atomic numbers.*** :Properties

  3. Calculus (Limits)

    Let f be defined as follows, where a does not = 0, f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the following are true about f? I. lim f(x) exists as x approaches a II. f(a) exists III. f(x) is

  4. chemistry

    You react chemical A with chemical B to make one product. It takes 100 grams of chemical A to react completely with 20 grams of chemical B. What is true about the chemical properties of the product? a. the properties are more like

  1. Limit

    Determine a region whose area is equal to the given limit. lim x-> infinity Sigma (n on top, i=1 on bottom) (2/n)*[5+(2i/n)]^10 I started with delta x=b-a/n =5-0/n =5/n The width of delta is 2/n so b-a=2 I'm not sure how you got

  2. Math - PreCalc (12th Grade)

    What does this function show at x = 5? f(x)=x^2−25/x−5 A) removable discontinuity B) jump discontinuity C) infinite discontinuity D) continuity E) none of the above

  3. crt

    To introduce an unusual or unfamiliar word, to coin new words, or to introduce a new meaning to a familiar word." A) Stipulative definition B) Precising definition C) Explanatory definition D) Persuasive definition E) Definition

  4. language arts help please

    9. Which sentence uses the past form of an irregular verb? My friend is keeping a journal. Adam has seen that show twice. Elsa gave me this book. We listened to the weather report.*** 10. What does the present perfect tense show?

  1. calculus

    How do you find the points of continuity for F(x) = sin(x^2-2) ? Can you show your work? Thx

  2. math

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y

  3. Grade 11 math

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly to get full marks. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and

  4. Pre calc quadratic stuff

    Write function about area of rectangle. Height is x+2 and length is 20-2x. Show that fubction fits the definition of a quadratix function. Thenx ;)

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