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hi my name is Vincent and today I want to take a look at some AP Calculus a B multiple choice questions no calculator so for the first question we have find the limit as X goes to infinity and we have this expression here now the way to attack this problem is we only need to consider the leading terms of the numerator and denominator and we could do this because this is a limit as X goes to infinity and we have a rational function a polynomial numerator and denominator so if we look at the leading term well get the leading term by multiplying two x times negative X which would give us negative two x squared and in the denominator the leading term would be generated by multiplying x times X which would give us x squared so to evaluate this limit at infinity we just need to look at the coefficients because the exponents of the highest term match so well have negative 2 over 1 and this limit works out to negative 2 giving us choice B so the next question here dont fall victim to the tr