A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim exists, C. ... if f is defined at a, D. ... if f is continuous at a,

Q: Sketch the graph of a function f so that... • There is a removable discontinuity at x 3 • There is a…

A: Here is the solution of the given problem.

Q: Let ce (a, b). If ƒ (x) is a function that is continuous at c, then lim,e- [f (x)] = lim,»c+ [f…

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Q: Answer the following True or False: If lim f(x) exists, then f(x) is a differentiable function at x…

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Q: Sx² 15 a. Find lim f(x). if x + 2 2. Let f(x) = } if x = 2 X→2 b. Find f(2). Is f(x) continuous at x…

A: Proceed as shown below...

Q: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

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Q: Assume that rs f(x) < 3r. Compute lim f (x)

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Q: Let f(x) be defined on an interval (a,b) and suppose that f(c) #0 at some c where f(x) is…

A: From the definition of continuity we know limx→cf(x)=f(c)f(c) existlimx→cf(x) existsAll of the above…

Q: 3. Sketch the graph of a function f such that the following conditions are true: ● f(4) is not…

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