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http://img80.imageshack.us/my.php?image=34587054lt1.jpg

this pictures have a high quality ,you can zoom it.

in this links i show the question and how i tried to solve them.

i was taught this convergence stuff using this type questions.

i solve them like that

---------------

a = (a +6)^0.5

n+1 n

a1=(6)^0.5 n=>1 are given

find if the goes up or down

and if its converges and to what limit??

i know that An+1 and An has the same limit

so i put L (limit) instead of them

and get that there are two possible limits

L=1 L=4

know i want to proove that this series goes up:

i fing A2 using A1=(6)^0.5

A2=(11)^0.5

A2>A1

than using an inequality An+1>An (we assume that it is correct)

i prooved An+2>An+1

and prooved that the function goes up

than the same way i prooved than An<4 (converges to 4).

but in this questions that i added in the link

they dont follow this pattern

i tried to solve them that way

but they are different

how do i solve them??

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# Homework Help: Convergence questions

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