Rev. G. Phillips on the Sununation of Series. S^l 



which between the limits of 3/ = and _y = 1, 



2«2 2"'3 S™* 



= (-ji- + -^ + -^ + &c. ) 



~ ( jTB— 1 "I 2"*—^ "* 3™— 1 "*" ' / 



( 1 1 1 » 



+ ^ JOT— 2 + 2"'— 2 "^ 3m— 2 + *^^* ) 



- &c. 



± (-^ + -^ + ^ + &c. ) 



+ (^ + -^ + -j^ + &c. ) 



± 1- 

 The sums of which series can be obtained by the common 

 methods. 



2. To sum the series -^-^^ + -^-j^ + -j^„ +&c. &c. 



Jy.Jy.\-y 1.2 ^2.3 ^ 3.4- ^ 4.5 



X. 1 /» /» 1 __ j/^ j/s y'^ , y^ 



Jy.'yJyJy'T^y ~ YT^ ^ tT¥' "*" sTi^ "^ T5^ 



+ &C. 



Jy-'yJy' y Jy- Jy-^-y 1.2^ "^ 2.3' "^ s.^- 



^^S-*"^*"- And 



Jy-jJy'y ""' Vj/.^j/. i-j^ ~ 1.2- "^ 2.3» 



+ siV -^ ^^- 



Now, 



