Recall that one method for treating this type of limit is by

Last updated: 7/13/2022

Recall that one method for treating this type of limit is by taking the natural logarithm. If we let y = [f(x)]⁹(x), then In(y) = g(x) In (f(x)). Applying this method gives the following result. y = (1 - 5x)1/x In(y) = ¹/in(1-([ × )x) We note that this leads to an indeterminate product on the right side, which is of type