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## Homework Statement

lim x~∞ 〈√(x⁴+ax³+3x²+ bx+ 2) - √(x⁴+ 2x³- cx²+ 3x- d) 〉=4 then find a, b, c and d[/B]## Homework Equations

all the methods to find limits

## The Attempt at a Solution

it can be said that the limit is of the form ∞-∞.I am completely stuck at this question.the answer is a=2 b∈ R c=5 d∈R.I think that this question can be solved by the concept of dominating terms.