Asked by Tim
Determine the behavior of limits
A. Limit as x approaches 1 of:
(log x)/((x-1)^2)
B. Limit as x approaches infinity of:
((x-1)^2)/(log x))
A. Limit as x approaches 1 of:
(log x)/((x-1)^2)
B. Limit as x approaches infinity of:
((x-1)^2)/(log x))
Answers
Answered by
Steve
taking derivatives, we have
(1/x) / (2(x-1)) = 1/0 = ±∞
B is the same, since as x->∞,
(x-1)^2 / logx is the same as
1 / (logx / (x-1)^2) as x->1
(1/x) / (2(x-1)) = 1/0 = ±∞
B is the same, since as x->∞,
(x-1)^2 / logx is the same as
1 / (logx / (x-1)^2) as x->1