Problem: The limit of xβ1x2β1β as x approaches 1 as a limit is:
Answer Choices:
A. 00β
B. indeterminate
C. x+1
D. 2
E. 1
Solution:
xβ1x2β1β=xβ1(x+1)(xβ1)β=x+1, for all xξ =1; the limit of x+1 as xβ1 is 2 , so that (D) is the correct choice.