(a) Show that the series $1 + \frac{1}{1 \cdot 4} + \frac{1}{2 \cdot…

Question

(a) Show that the series $1 + \frac{1}{1 \cdot 4} + \frac{1}{2 \cdot 5} + \frac{1}{3 \cdot 6} + \frac{1}{4 \cdot 7} + \ldots$ is convergent.

(b) Test for convergence or divergence of the series $\frac{1}{(\log 2)^p} + \frac{1}{(\log 3)^p} + \frac{1}{(\log 4)^p} + \ldots$

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