4) Consider the collection of intervals on the real line: B = { (a, b) | a < b and (b – a) > 1}. Is this a basis for a topology on R? If so, prove it. If not, explain why not.

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A: It is an important part of statistics. It is widely used.

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Q: pleases

A: We will find the limits.

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A: Total number of balls = 6  Total number of orange balls = 3 odd number balls = { 1 , 3 , 5 }

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A: we know that A-B=A\B=all those element of A which are not in B.Simialrly, B-A=B\A=all those element…

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A: We are given gx=14x3+7x2+11x-29 we have to find g'x

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A: It can be solved using L Hospital rule.

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A: The answer provided below has been developed in a clear step by step manner.

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