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lim(y->oo)(sqrt(1+sqrt(1+y^(4)))-sqrt(2)...

`lim_(y->oo)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))=` (a) `(1)/(4sqrt(2))` (b) `(1)/(2sqrt(2))` (c) `(1)/(2sqrt(2)(1+sqrt(2)))` (d) does not exist

A

exists and equals `1/(4sqrt2)`

B

does not exist

C

exists and equals `1/(2sqrt2)`

D

exists and equals `1/(2sqrt2(sqrt2+1))`

Text Solution

Verified by Experts

The correct Answer is:
A
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