Theorem (Lebesgue dominated convergence theorem) Let {f} be a sequence of mea- surable functions converging in measure to f. If there exists a non-negative summable function such that f(x) ≤ (x) a.e. on E for each n = N, then lim fn(x)dx=ff(x)dx. 11-00 E

Q: 1-V3x+2 dx 1+v3x+2

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Q: Solve

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A: We first factor the numerator and denominator to simplify

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A: Given: 1 + 1 + 1 + 1 + 1 1 + 1 + 1 + 1 + 1 1 + 1 x 0 + 1 = ?

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Q: Find the solution for 3/4 - (-6/12)

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Q: Solve 3x + 2y > 6 graphically.

A: Shaded area below is the graphical solution.

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A: Given  It is Extraneous question

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A: Given query is to find the value of x.

Q: -2

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Q: What is its equation?

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Q: solve for x 8/x+1 - 3/2= 6/3x+3

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Q: solve 1/2x+2/7x=3

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A: Given  x10-x = 19e10t We have to solve for x.

Q: solve 5/2 x = 15

A: Given:

Q: Integrate x2

A:

Q: (15x - 8) 226

A: Given,