Find the Laurent expansion of that are valid for (a) |z| < 1; (b) 2 > 2; f(z): = 1 (z+1)(2+2) 1 2+1 1 2+2

Q: thun no in

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Q: ppose that a and b are odd natural numbers and a² + b² = c². Prove that c is irr

A: We can prove for irrational.

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Q: The inverse Laplace transform of 3s²-12s-40 (s-2) (s2 - 14s +50)'

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Q: *NO" > " * ' ( ; * ; + ¹) { "J

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Q: 1 Σn n (Inn)³* 7=3 7. Using Integral test, determine convergence or divergence for Σ;

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Q: 7. Let N = {An: n = 1,2,3,... } where A₁ = (−1+, 1-2). Find UN and N. Prove your conjecture.

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Q: 6. Let = {An: n = 1, 2, 3, ...} where An = {0, 1, 2, ..., n}. Find Un and nn. Prove yo coniecture.

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