(a) Discuss the convergence or divergence of the series $\sum \left(\…

Previous year question for Engineering Mathematics-II.

Question

(a) Discuss the convergence or divergence of the series $\sum \left(\frac{1+n}{n}\right)^n$

(b) Find the interval of convergence of the series: $1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^4}{4!} + \ldots$

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