Which of the following functions are continuous on (-0, 0)? (a) ƒ(æ) = 1/x. (b) g(x) = Va. (c) h(x) = sin x. (d) j(x) = e/². Type the correct letter, a, b, c, or d: с,

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,…

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A:

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A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

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A:

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A: The detailed solution is as follows below:

Q: Find where the function is continuous, but not differentiable..

A: Given,

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A: To find out the values of x at which the function is discontinuous.

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A:

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A: gx=12x+1,   for  x<4-x+7,   for  x>4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

Q: Jaimie, a MAT student, claims that "For a continuous function f(x), defined on an interval [a, b],…

A:

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A:

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A: To prove that given function is continuous. gx,y=xy3x2+y6,   if x,y≠0,00,              if x,y=0,0

Q: 56. Is the function given by Sx + 1, for x 4, G(x) = continuous at x = 4? Why or why not?

A: As we know that  Function will be continuous at x=a if limx→a-fx=limx→a+fx=fa

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A:

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A: Solving the first part: Given:

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Q: Give a formula of a continuous function that is differentiable except at 0.

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A: We will use the definition of continuity to solve this question.

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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.

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