Question: Directions: Write up the following and show all work:Consider the sequencean=1n(1ln(n))a) Find the limit of the sequence.b) Determine if the sequence converges or diverges.Now, consider

Directions: Write up the following and show all work:Consider the sequencean=1n(1ln(n))a) Find the limit of the sequence.b) Determine if the sequence converges or diverges.Now, consider the infinite series31n(1ln(n))We will determine if this series converges or diverges using the integral test.c) Determine the related continuous function f(x).d) Explain (graphically or algebraically) why we can use the integral test.e) Determine the related integral.f) Determine if the related integral converges or diverges.g) Determine if the infinite series converges or diverges.

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