An= square root (n+ square root n + 1) - n find limit of sequence.

my work: lim as x goes to infinite x(1+ (x+1)^ 1/2 / (x))^ (1/2) - squareroot x

i think the limit is infinite minus infinite but how do i change it into the indeterminate form.

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- Mar 17th 2009, 09:10 PMtwilightstrfind limit of sequence
An= square root (n+ square root n + 1) - n find limit of sequence.

my work: lim as x goes to infinite x(1+ (x+1)^ 1/2 / (x))^ (1/2) - squareroot x

i think the limit is infinite minus infinite but how do i change it into the indeterminate form. - Mar 17th 2009, 09:18 PMGaloisTheory1
- Mar 17th 2009, 10:11 PMtwilightstr
the problem is square root of n + squareroot of n+1)) - square root of n

everything before square root n is within a square root - Mar 17th 2009, 10:37 PMChris L T521
- Mar 19th 2009, 08:47 PMtwilightstr
what happened after the second to last step?

- Mar 20th 2009, 05:01 AMstapel