41: The denominator goes to infinity, in the numerator there is the indeterminate difference ∞ − ∞. In fact, in the numerator the term 3^x eventually prevails, so the ratio is of the type. However, l'Hospital does not help, since derivatives would leave all terms in place (exponential does not change its nature when differentiated). Thus the only reasonable way is to find dominant terms and factor out.

First rewrite the expression to be able to identify the dominant term.

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