For what real value of does equal ?

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

Problem

For what real value of kk does lim⁡x→∞kx4+7x22x4−3\displaystyle\lim_{x\to\infty}\frac{kx^{4}+7x^{2}}{2x^{4}-3} equal 12\dfrac12? (a) 00 (b) 12\dfrac12 (c) 11 (d) 22

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