Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? (If an answer does not exist, enter DNE.) {In(x + + 1), x2 0 f(x) 17 - x?, x< 0 X = ---Select-

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A: The function f is continuous. The integral function is ∫13fxdx=8.

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?…

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Q: iii. is continuous at a provided g(a) # 0.

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A: We will check the continuity of the function

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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: Find the values of α and β such that the function f(x) = ( α cos x + 2 if x < 0 βe3x + αx2 if x ≥ 0…

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Q: - if f(x) is a continuous function at x O, then a = 1-cos4x よく0 x? { a If f(x) = r= 0 r>0 V16+ VF -

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Q: Consider the following. PX)={ S-5x, f(x)= x² – 2x + 5, X 4 Find the x-value at which f is not…

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Q: For what value of a is x² -1, x< 3 f(x) 2ax, x2 3 continuous at every x?

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Q: 2- For what value of the costant c is the function continuous at every number? F(x) = {x+c if x<2…

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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: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

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…

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Q: 35. Given that f(z) is a continuous even function, then A 0 D

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Q: |Consider the function f with domain (-2, 0): 3|1² – 1| 21² + 2r – 4 if – 2<1<1 f(z) = if x = 1 3 if…

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Q: At which point c does g have a removable discontinuity? How shouldg(c) be redefined to make g…

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Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: Consider g(x) = rº/3. Is g(x) differentiable at x=0? Is g(x) continuous at x=0?

A: We find g'(x) using the power rule  Then we find the left and right-hand limits of g'(x) and g'(0)…

Q: a. Find the value of (k) that make the fumction flk) = ,continuous atx = 0 +3k-3 x=0

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Q: - 35) Prove that if y=flx)is continuoUS and flx1= 0 when x is a rational number, then f Lx)=0 for…

A: The objective is to show f(x) =0 for all x belongs to R.

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

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Q: 2. Consider the function f with domain (-2, 0): 3|22 – 1| if – 2<r<1 2.r2 + 2x – 4 f(x) = 3 if r = 1…

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Q: Determine if g (x) = is continuous at x = 0

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Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

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Q: Find a constant b such that h is continuous at x = 2, where x +1 for |x| 2 With this choice of b,…

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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…

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