Explain how to convert a limit of the form 0.0 to a limit of the form 0/0 or oolo. Choose the correct answer below.
A. If limₓ-a f(x)g(x) has the indeterminate form 0.00, then limₓ-a f(x) /g(x) has the indeterminate form 0/0 and limₓ-a g(x)/ f(x) has the indeterminate form [infinity]to[infinity]
B. If limₓ-a f(x)g(x) has the indeterminate form 0.[infinity], then limₓ-a f(x)/g(x) has the indeterminate form 0/0 or [infinity]/[infinity].
C. If limₓ-a f(x)g(x) has the indeterminate form 0.00, then limₓ-a f(x)/ 1/g(x) has the indeterminate form 0/0 or [infinity]/[infinity], provided lim exists or is infinite.
D.If limₓ-a f(x)g(x) has the indeterminate form 0.[infinity], then limₓ-a g(x)/ 1/f(x) has the indeterminate form 0/0, but not 00/00, and limₓ-a 1/g(x) has the indeterminate form [infinity]l[infinity], but not 0/0, provided limₓ-a 1 /f(x) exists or is infinite.