# L'Hopital's Rule to Find Limits

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

See attachment below.

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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 ...