L'Hopital's Rule to Find Limits
Find the following limits using L'Hopital's rule.
See attachment below.© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/lhopitals-rule-to-find-limits-1nt
...indeterminacy. So we can give the answer easily as (1+2/4)^12=(3/2)^12.
B) lim (1 + 2x)^1/x
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
now let us take the natural logarithm, "ln" of both sides.
ln lim (1 + 2x)^1/x = ln a
ln can move inside the ...