2. Let E be the set of all x € [0, 1] whose decimal expansion contains only the digits 2 and 8. Is E countable? Is E dense in [0, 1]? Is E sequentially compact?

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Q: 3. Display an argument to show that the Gamma Function is defined for s> 0. T(s) = f e-¹4³-1 dt. 0

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Q: . (i) Show by hand that 2 is a primitive root mod 19. ii) Find2 a complete set of primitive roots…

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Q: 3. Please prove[x"In(x)] = x¹Jn-1(x) and [x"n(x)]= -x¯¹]n+1(x) dx

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Q: Example 4.5 Find the convolution of the two continuous-variable f(x) = e-x² and functions g(x) = 3x²

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Q: ·0-0-0 6= Az = 6, where A = How many least-squares solutions does this system have? (A) 0 (D)…

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