Let f and g be defined and differentiable in an open interval I, let a ...

Transcribed Image Text:

Let f and g be defined and differentiable in an open interval I, let a € 1, suppose f(a) = g(a) 0 but g(x) and g'(x) ‡ 0 if x # a. Suppose further that f'(x)/g'(x)→ Las x→a. Show that f(x)/g(x)→ Las x → a. = Let f and g be defined and differentiable in an open interval I, let a € 1, suppose f(a) = g(a) 0 but g(x) and g'(x) ‡ 0 if x # a. Suppose further that f'(x)/g'(x)→ Las x→a. Show that f(x)/g(x)→ Las x → a. =

Answer rating: 100% (QA)

Since fa ga 0 we can apply LHopitals Rule to get Using the given information we know that fx gx ... View the full answer