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- Find the Taylor series for f(x) = 1/1+2x at x=2 and its interval of convergencecompare the series (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............ Are they both convergent? How can you prove this?How can I determine whether the series (-1)n+1e(-1/n+1) absolutely or conditionally converges or diverges?