Compute the following limits. Clearly indicate the usage of L'Hospital's rule.

Question

limit as x approaches ∞ [2ln(x)-ln(3x²+1)]

Answer 1

You do not need l'Hospital's rule

lim 2 ln x-ln(3x²+1)=lim ln (x²/(3x²+1))=ln(1/3) as x-->∞