1+ 3n? . Consider (R, M(R), µ).Let S = -,n ɛ N}U{3} 1+ n2 e) ={ x2 if x E S -x? if x ¢ S f(x) = then u(S) = 0 and f(x) is continuous. - µ(S) # 0 and f(x) is continuous. µ(S) = 0 and f(x) is a.e. continuous. µ(S) #0 and f(x) is a.e. continuous. None of these.

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A: The answer is given below

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A:

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A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

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A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

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A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

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A:

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A: This question is about function behaviour near infinity

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A: Given function is as below:

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Given, Fx = ∫-2x2t - 3t2 + 1 dtFx = ∫-2x2t3 - 3t2 + t - 3 dtFx = t44 - 3t33 + t22 - 3t-2x2Fx = x44 -…