If then the value of equals

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

If lim⁡x→∞(a2x2+x+1−bx)=2(a,b∈R)\lim_{x \rightarrow \infty} (a\sqrt{2x^2+x+1} - bx) = 2(a, b \in R) then the value of (a2+b2)(a^2 + b^2) equals (a) 32 (b) 48 (c) 64 (d) 96

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