Answer all these questions

00 Q1 Find the value of b for which the series binn is convergent. n=1 Q2. Find the value of p for which the series In n n = 1 nP is convergent. Q3. Determine whether the following series converges absolutely, converges condi- tionally, or diverges. 0O (a) (-1)2 27 + 3 30 + 2' n=1 (b) _ (- 1)" ( Vn+ 1 - Vn) ; n=1 (c) _(-1)nel n M &IM (d) n sin n 1 + n3 ' 18 (e) (-1)" n n= 1 Vn3 + 2 Q4. Use the Ratio or Root test to determine whether the following series converge. (a) _ (2n)! n=1 (n! ) 2 00 (b ) E ( 1 + 2 ) ". n=