For what value of a is the following function continuous at every x? a'x-4a, x22 f(x) = 30, x< 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. a= (Simplify your answer. Use a comma to separate answers as needed.)

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x) = 14-x2 To find: The values of x at which function is not continuous.

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Rearrange the the given rational function. As the denominator tends to 0 the function is undefined.…

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x)=tanπx2

Q: 4. h(x) = x-T at X %3D 2. 5h(X) = x + x4-1 at X = %3D

A: Continuous function at x=a

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given function is

Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: We know,  ln(x) is continuous for all x&gt;0 Polynomial function of x is continuous for all real x.…

Q: Which of the following does not represent a function that is continuous everywhere? Select one: O y=…

A:

Q: Consider the following. 1피 < 1 |z| 21 tan f(x) = Find the x-values at which f is not continuous.…

A: f(x)=tanπx4,x&lt;1x,x≥1

Q: On which interval is the function f(x) = tan x² continuous Is the function f(x) = ! - continuous at…

A: 3.1)  tan x2 =sin x2cos x2We know that sin x2 and cos x2  are both continuous functions.Thus, tan…

Q: Determine if the function f below is continuous at x = 1: [1– VI– x, x 1

A: We have to find

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: Function f(x) = 3x - cosx  To Find The x - values for which the given function is not…

Q: If f is differentiable at a number, x, then f is continuous at x.

A:

Q: Which of the following functions are continuous on (-0, 0)? (a) ƒ(æ) = 1/x. (b) g(x) = Va. (c) h(x)…

A: Topic = Functions  Correct letter is C

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

A:

Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Consider two functions f(x),g(x) defined for all real numbers. Let the two functions be continuous…

Q: Is the following function continuous F(x)=x cot 5x

A:

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for…

A:

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: Suppose f is continuous on the closed interval [- 1, 3]. If Fis an antiderivative of f , which of…

A:

Q: Find the x-values (if any) at which the functionf(x)= is not continuous. Which of the…

A:

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: The given function is the rational function, hence apply the methods that help to find the…

Q: Which of the following are necessary for the function f(x) to be continuous at x=a? Select all of…

A:

Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

A:

Q: a) For which values of a and b in R is f(x) continuous on (-infinity, pi/2)? b) For which values of…

A: Given function is f(x)=x+a, x≤0bcos(x)+asin(x) , 0&lt;x≤π4btan(x), x≥π4 If f(x) is continuous on…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: A function is continuous in a given interval, if the graph of function makes a continuous or smooth…

Q: Given (x², if 0sxsb f(x) = if b<x %3D (a) Determine a value of b so that f is continuous at b. (b)…

A:

Q: and if the function is differentiable at x

A: The Given function is f(x)=x+33  ,  a=-3

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

A: The given function is: fx=cos x,       x≤0x2+x+1,  x&gt;0 Check whether the function is continuous…

Q: Let f be the function defined as follows: [3-х, for x <1 f(x)= {ax2 + bx, 5x-10, for 1<x <2 where a…

A:

Q: x = 0 f(x) sin z x +0 а) х — 0. ? b) х — 4т. ?

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: given that  f(x)=tanx2

Q: Determine if f is continuous at the indicated values. x = 0 f(x) = 1 sin x x + 0 a) x = 0. ? b) x =…

A: Given

Q: Consider the following. f(x) = 9x – cos x Find the x-value at which f is not continuous. Is the…

A: 3x  is continuous for all real numbers  x  (we write as  ∀ x ∈ R  which means for all  x  in the set…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: The function given is  fx=5-x. The greatest integer function x is discontinuous at the integer…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

Q: Find the x-values at which f is not continuous

A:

Q: what condition when present are sufficient to conclude that a function f(x) is continuous at x=a

A: To show a sufficient condition to conclude that a function f(x) is continuous at x=a.

Q: 2. h(x) = at x = 1 x+1 %3D x2-1

A:

Q: Determine the set of values of the continuous function defined by the formula: a) f(x)=cos sin

A: Given that fx=cosπ3sinxgx=π3sinxsinx is continuous in x∈-∞,∞gx is also continuous in  x∈-∞,∞.Range…

Q: Interpret the first and second derivatives graphically. Drag each of the above graphs of continuous…

A: If f'(x)= + , then f(x) will be increasing. If f'(x)= - then f(x) will be decreasing.  If f"(x)= +,…

Q: Which of the following functions will not be continuous at x = -5? Select one: a. All of these…

A:

Q: Is the following functions continuous or not at z = 0?

A: To check whether the following function is continuous at z=0fz=Rez1+z

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.