# 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

## 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