SOLUTION: I need help finding the limits
Problem:
Find the limit of each using algebraic techniques.
1. lim x > -1 x^2 - 1/ x + 1
2. lim x > -1 2x^2 - x - 3/ x + 1
3. lim
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Problem:
Find the limit of each using algebraic techniques.
1. lim x > -1 x^2 - 1/ x + 1
2. lim x > -1 2x^2 - x - 3/ x + 1
3. lim
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Question 1139284: I need help finding the limits
Problem:
Find the limit of each using algebraic techniques.
1. lim x > -1 x^2 - 1/ x + 1
2. lim x > -1 2x^2 - x - 3/ x + 1
3. lim x > 3 x - 3/ x^2 - 9
Image of the problems in case i typed them wrong: https://imgur.com/sIlPJJY Answer by greenestamps(13209) (Show Source):
Factor numerator or denominator as appropriate in each example.
1. lim x > -1 (x^2 - 1)/ (x + 1)
The factored form shows that the rational function is equivalent to (x-1) everywhere that it is defined -- i.e., everywhere except when the denominator is zero, at x=-1. So the limit of the rational function as x approaches -1 is (-1-1) = -2.
The other two examples are very similar to that first one....
