Find the lim_(n ->oo) (sqrt(n^2+1)+sqrt(n))/((n^4+1)^(1/4)−sqrt(n))

robbbiehu

robbbiehu

Answered question

2022-10-22

Find the lim n n 2 + 1 + n ( n 4 + 1 ) 1 / 4 n

Answer & Explanation

ipa1rafd

ipa1rafd

Beginner2022-10-23Added 11 answers

lim n n 2 + 1 + n ( n 4 + 1 ) 1 / 4 n = lim n ( n 2 + 1 + n ) ( ( n 4 + 1 ) 1 / 4 + n ) ( ( n 4 + 1 ) 1 / 4 n ) ( ( n 4 + 1 ) 1 / 4 + n ) = lim n ( n 2 + 1 + n ) ( ( n 4 + 1 ) 1 / 4 + n ) ( n 4 + 1 ) 1 2 n = lim n ( n 2 + 1 + n ) ( ( n 4 + 1 ) 1 / 4 + n ) ( ( n 4 + 1 ) 1 2 + n ) ( ( n 4 + 1 ) 1 2 n ) ( ( n 4 + 1 ) 1 2 + n ) = lim n ( n 2 + 1 + n ) ( ( n 4 + 1 ) 1 / 4 + n ) ( ( n 4 + 1 ) 1 2 + n ) n 4 + 1 n 2 .

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