L'Hopital's Rule to Find Limits

Find the following limits using L'Hopital's rule.

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...indeterminacy. So we can give the answer easily as (1+2/4)^12=(3/2)^12.
B) lim (1 + 2x)^1/x
x-0+
Problem B is at first hard to understand. So to make it easier let us call the limit we are trying to find, "a" thus:
lim (1 + 2x)^1/x = a
x-0+
now let us take the natural logarithm, "ln" of both sides.
ln lim (1 + 2x)^1/x = ln a
x-0+
ln can move inside the ...