Evaluate: _ x [ a^2 x^2 + ax + 1 - a^2 x^2 + 1 ]

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate:

\lim_{x \rightarrow \infty} \left[ \sqrt{a^2 x^2 + ax + 1} - \sqrt{a^2 x^2 + 1} \right]