I am struggling with these questions, please help

Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use no or oo, enter INFINITY or INFINITY, respectively.) 2\": (1)\"+1n! n=01-4-7---(3n+1) a lim aw n+1|= an (7 converges o diverges Wewing Saved Work Revert to Last Response 'IZ POthS] DETAILS MY NOTES Use the Root Test to determine the convergence or divergence of the series. {If you need to use no or oo, enter INFINITY or INFINITY, respectively.) 2(1 1)\" __4 n=1 n n lim \"\\/|an| = 11)00 converges (j diverges (j inconclusive Find a power series for the function, centered at c. 2 f =, =5 (X) 3x+2 C \"*2 n=0 Determine the interval of convergence. (Enter your answer using interval notation.)