The four approximate expressions are :-
1. ((n+1)^2/(n+2)^2)+((n-1)^2)/(n^2)) is approximately 2 - 8/(2n+3)
2. (n^2/(n+1)^2)+((n-1)^2/n^2) is approximately 2 - 8/(2n+2)
3. ((n+1)^(1/2)/(n+2)^(1/2))+((n-1)^(1/2)/(n^(1/2))) is approximately 2-(1/(n+1) + 1/(4((n+1)^2)))
4. (n^(1/2)/((n+1)^(1/2))+((n-1)^(1/2)/(n^(1/2))) is approximately 2-(1/(n+1) + 3/(4((n+1)^2)))
If you have any suggestions or questions please feel free to write in comments.
Have a fine day !!
1. ((n+1)^2/(n+2)^2)+((n-1)^2)/(n^2)) is approximately 2 - 8/(2n+3)
2. (n^2/(n+1)^2)+((n-1)^2/n^2) is approximately 2 - 8/(2n+2)
3. ((n+1)^(1/2)/(n+2)^(1/2))+((n-1)^(1/2)/(n^(1/2))) is approximately 2-(1/(n+1) + 1/(4((n+1)^2)))
4. (n^(1/2)/((n+1)^(1/2))+((n-1)^(1/2)/(n^(1/2))) is approximately 2-(1/(n+1) + 3/(4((n+1)^2)))
If you have any suggestions or questions please feel free to write in comments.
Have a fine day !!
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