If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the maclaurin series for f.

Note that, by the ratio test, this converges for



Integrating once, you have




Given that , it's clear that , and so



Differentiating both sides recovers :

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote