In order that R(x)/(x – x0) of equation approach zero as x → x0, the numerator R(x) must a...

In order that R(x)/(x – x0) of equation approach zero as x → x0, the numerator R(x) must approach zero at a faster rate than does the denominator x – x0. For the of Exercise, sketch the graph of y = x – x0 and R(x) = f(x) – L(x) on the same set of coordinate axes. Do both x – x0 and R(x) approach zero as x → x0? Which approaches zero at a faster rate, R(x) or x – x0?

,at x = 0