Please answer these questions providing the steps that been used to answer these questions topics ( comparison and alternating series test )

\fTest the series for convergence or divergence. \"ff _1_[_)_)n 5_(n_)_ 4 = ?n + 4 Identify b\". Evaluate the following limit. lim bn nim Since Iim bn 0and banbu foraIIn.- nino Need Help? i i i Test the series for convergence or divergence. an E 3(1)"e-" n = 1 C;- oonverges i;- diverges Test the series for convergence or divergence. in: (1)\"sin(%) n = 1 Q;- converges -;;;' diverges Need rue-p? i i Test the series for convergence or divergence. C," converges a) diverges Need Help? i i Test the series for convergence or divergence. f: (_1]n+ 1 5 "=1 2n L_l- converges C) diverges If the series Is Convergent, use the Altemallng Series Estimation Theorem to determine how many terms we need tn) add In order to nd the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms Approximate the sum of the series correct to four decimal places. \f\f(a) What is an alternating series? An alternating series is a whose terms are . (b) Under what conditions does an alternating series converge? An alternating series 2 6n = Z (1)\" r 1b", where L7,, = Ianl, converges if 0