Question 3 Suppose f(a,b)→ R is continuous at every point in the open interval (a, b), and that f(x) #0 for all a < x < b. Show that f(x) > 0 for all x € (a,b) or f(x) < 0 for all x € (a, b).

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A: Given: To Find:To evaluate the following limits:

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A: (b): (c): (d):

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A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

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Q: 2. Consider the function, f(x) = 2x + 2. a) Givene> 0, find 8> 0 so that if 8 0 f(x) -도<2x+ㄹㅅㅌ ㄹㄹ ㄹ…

A: In this question, we will find the limit by using the episilon-delta definition.

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A: To find:-