SOLUTION: Which would be the best option for finding the limit? limit: https://s12.postimg.org/lgy48d0bx/limit2.png A.) Direct substitution B.) Dividing out technique C.) Rationalization

Algebra ->  Test -> SOLUTION: Which would be the best option for finding the limit? limit: https://s12.postimg.org/lgy48d0bx/limit2.png A.) Direct substitution B.) Dividing out technique C.) Rationalization      Log On


   



Question 1081521: Which would be the best option for finding the limit?
limit: https://s12.postimg.org/lgy48d0bx/limit2.png
A.) Direct substitution
B.) Dividing out technique
C.) Rationalization technique
D.) Indeterminate form

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Since the given expression has domain issues at x=-1 (i.e. the expression is undefined there, as written), you'll need to divide it out (in fact, whenever you see limit problems, check if direct substitution will work, if not, then look for common factors):
++%281-2x-3x%5E2%29%2F%28x%2B1%29+=+%28%28x%2B1%29%28-3x%2B1%29%29%2F%28x%2B1%29+=+-3x%2B1+
THEN (if you actually needed to find the limit) you could use direct substitution on
+-3x+%2B+1+ because it won't have domain issues at x=-1.