Expand the function in a power series E a,x" with center c = 0. Find a„x". 9+8x n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) anx" %3D Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol o for infinity, U for combining intervals, and appropriate type of parenthesis " (", ") " , " [" or "] " depending on whether the interval is open or closed. Enter DNE if interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E

Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10^-3 in magnitude.

Q2: Please type all of your answers clearly and complete all the parts to this question. * the number in denominator is 5

find the sum of the series (-1)^n(1/25)^n+3/2n+1