Let a>0, and z_{1}>0. Define z_{n+1}= sqrt(a+z_{n}), for n is a natural number. Show that {z_{n}} converges and find the limit.

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- September 19th 2012, 11:32 PMTaTzRE66Let a>0 and let z1>0. Define zn+1:=for nN. show that (zn) converges and findthe limit
Let a>0, and z

_{1}>0. Define z_{n+1}= sqrt(a+z_{n}), for n is a natural number. Show that {z_{n}} converges and find the limit. - September 19th 2012, 11:44 PMFernandoRevillaRe: Let a>0 and let z1>0. Define zn+1:=for nN. show that (zn) converges and findthe l