x + 1, x < 2 47. f(x) 3 – x, x > 2 – 2x, |x² – 4x + 1, x > 2 x < 2 48. f(x)

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

A: Given function is

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

A: Given: The function, f(x) = 10-8e9-x,  x &gt; 910-89x,       x≤ 9

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

A: The denominator can not be 0.  So, x≠0 and x-1≠0  Or, x≠0 and x≠1

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?

A: Equate at given value

Q: Examine if f(x) = x3sin(1/x) is uniform continuous on the interval (0,2]

A:

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

A: fx=x+2x2-3x-10⇒fx=x+2x2-5x+2x-10⇒fx=x+2xx-5+2x-5⇒fx=x+2x-5x+2 Now denominator is zero when x=5, -2.…

Q: 1- Vx – 2 f (x) = x + 3, x – 3 k x = 3

A:

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

A:

Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?

A:

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

A:

Q: 9-x - S(x)= Vx- 6

A:

Q: • Use the IVP to prove that r3 – 4z+2 has a zero in the interval [0, 1] • Use the IVP (and a similar…

A:

Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

A:

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

A: Given: f(x)=cscπx6x-3≤22x-3&gt;2 Simplify the given function.…

Q: Is there a continuous function such that - f: [1,2] U [3,4] → R - f(1) * f(4) < 0 - f(x) not egual 0…

A:

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

A:

Q: (b) Suppose that f(x) = SBx? – 3 if if xS2 (Bx+ 2 %3D Find the value of ß so that f(x) is continuous…

A:

Q: Determine if the following are continuous at the certain point. Show your | COMPLETE SOLUTION. f(2)…

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of…

Q: x² – 16 f (x) = x( x 2(х — 1)°(х — 2) : о 1)8 (x – 2) : 0 - -

A: If the given function is equal at LHL and RHL at x=3 then the given function is continuous at x

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

A: Given :             f(x) =1(4-x2)

Q: b. Test the continuity of the following function 1, x< 0 V1-x, 0sxs1 ,atx 0,1 x- 2, x21

A: We have to check the continuity of f(x) at x=0, 1

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

A: From the given problem: 57).   fx=12x+1,x≤23-x,x&gt;2   As we know that, if L.H.L is not equal to…

Q: Assume that ƒ is continuous on [0,1] and that f(0) = 2 and f(1) = 1. Show that the graph of y = f(x)…

A: given  f is continuous on [0,1] f0=2,f1=1y=x2+1

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: S(x) = 7x* – 1x* +2. | Use interval notation to indicate where f is continuous. Domain of…

A:

Q: Graph h and describe the discontinuity: for x 0 Is h left- or right-continuous?

A:

Q: Find all values of a and b that make -а - х, x<-2 f(x) = {bx? + 1, Vx+b, -2<x<1 x21 continuous…

A: The function is given by: f(x)= -a-x , x&lt;-2           bx2+1 , -2≤x&lt;1         x+b   , x≥1 Also…

Q: Determine the set of points at which the function is continuous. F(x, y) - х-у 1 + x² + y2

A:

Q: 5. Find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

A:

Q: ... uavarasvo vr-vv, find the x-values (if any) at which f is not continuous. Which of the…

A:

Q: Use limits to determine if f(x) = is continuous at x = 1. z-2

A:

Q: Q3) For what values of a and b are -х2 +а , x<0 x in+1, 0 < x<- y = bx3 + 2, Continuous at every x ?

A:

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

A:

Q: Q3) For what values of a and b are (-x² + a , y = { xsin-+1, 0 < xs: bx³ + 2 , Continuous at every x…

A: See the attachment

Q: Find values of x, if any, at which f is not continuous. Prove using limits. f(x)= x/x^2 +4

A:

Q: x + 6|, if x - 1 x² – 3x

A:

Q: (3x² -1, x 1, Determine c and d so that f(x) is continuous everywhere.

A:

Q: Find the x-values (if any) at wvhich the function f(x)= 9x+ 3x+ 3 is not continuous. Which of the…

A:

Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

A:

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: Q2/A) Decide if the following function is continuous using limits. flxl=2x,x«0 5Vx,x>0

A: We know that polynomials are continuous in their domain. Therefore, for x&lt;o, f(x)=2x and for…

Q: (c) Determine whether f (x) is continuous at x-2, where [4x+3, xs2 f(x)= 8-x, x2

A:

Q: EDU 2x, ifx 3

A: A function, f(x) is continuous at x=c if limx→cf(x)=limx→c-f(x)=limx→c+f(x).  The limit of y at x=3…

Q: If ƒ(x) is continuous [-00,b]then on ſf(x)dx= lim [ ƒ (x)dx а. a a

A: Explanation of the solution is given below...

Q: Q3) For what values of a and b are (-x² +a, y ={ xsin - bx3 + 2 , 0 <x<: Continuous at every x ?

A: Given information: The function is y=x2+a          x≤0xsin1x+1   0&lt;x≤1πbx3+2       x&gt;1π…

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

A:

Q: Q3) For what values of a and b are -x² + a , x Continuous at every x ?

A:

Q: Find values ofa and b that make B(x) both continuous and differentiable at x = 2: ax? B(x) ={ 6x + b…

A:

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.