True or False ( Please provide explanations to help me understand the answers. Thank you so much. Have a nice day! )

10. _ (Review) If lim 00 (Review) The special name given to the series 2 % is the harmonic series. 'n.=1 (Review) The sum of the geometric series 2 or\" is for all r E R. n=0 (Review) If lim an does not exist or if lim an 7E 0, then the series 2 an is divergent. n)oo 11,)00 \"=1 00 00 (Review) A series 2 an is absolutely convergent if the series of absolute values 2 Ianl is convergent. \"=1 n=1 (Review) The Ratio Test can be used to show that a series is absolutely convergent. an+1 11 00 = 10, then the series 2 an is convergent. n=1 71)00 DO _ (Review) The series 2 (V n1 + 1 n2) is divergent. 11:1 00 Every power series 2 mm" converges at m = 0. n=0 CK) The power series 2 an(sr a)" converges on an interval centered at a: = a. 71:0 00 _ The power series 2 a?\" converges if i :12 |