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question about taylorseries

hi. how can you solve the question(both seem same). first i tried to find it as a taylor series using by differentiation as like f(x)=f(a)+f'(a)(x-a)+f''(a)/2!.(x-a)^2.... then after converting it to sigma"Σ" ,it seems possible to find the convergence-set. however it takes hours :X. what is the right way for solving these kind of questions?

• Maschinenbau
• Mathematik 1
• Mathematik1