Problem: The limit of x−1x2−1​ as x approaches 1 as a limit is:
Answer Choices:
A. 00​
B. indeterminate
C. x+1
D. 2
E. 1
Solution:
x−1x2−1​=x−1(x+1)(x−1)​=x+1, for all xî€ =1; the limit of x+1 as x→1 is 2 , so that (D) is the correct choice.