124. Limit by L'Hopital's Rule: with logarithm, form 0 times infinity 

▼ IMPORTANT ▼ Solved example of limit using L'Hopital's rule (L'Hôpital's rule, L'Hospital's rule), in the case in which x tends to zero and we have a product of x times natural logarithm, of the form zero times infinity, writing the product as a division (quotient), to have the form 0/0 or infinity over infinity and apply the rule deriving the logarithmic and rational function and calculating the limit step by step.
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