Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*x- 1] .0.5 1 -0.5 1- x2 .0.5 TX xp- 1-4x2

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A: Explained below 

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A: Topic:- limits and continuity

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A: This question can be solved by the concept of number line.

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A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

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A: The given function is  f(x)=-3(x)x+7

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A: Given: x=8sin(y), 0≤y≤π2

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A: Solution: f(x)=x3+3x2-2 find the maximum f(x)  

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A: Given the query is find function is continuous or not at x = 3.

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A: I am attaching image so that you understand each and every step.

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A: Consider the region