44: The "e to ln" way should get you here:

This is a standard indeterminate ratio and no algebraic trick is obvious, so the l'Hospital rule is the natural thing to try.

If you went for the e^c-form, you should have used the substitution m = n − 1 and then do

Now use algebra to isolate the expression (1 + c/m)ⁿ in this limit.

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