SOLUTION: Solve x^2+x/x+1
as x approaches -1)
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Question 179377: Solve x^2+x/x+1
as x approaches -1)
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I assume that you want to evaluate the limit as x approaches -1
Start with the given limit
Factor out the GCF x
Cancel out like terms
Simplify
Take the limit of x as x approaches -1. In other words, simply plug in x=-1
So
Note: If you use a calculator to make the table of , you'll see that is NOT defined, but values near that value get close to -1.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I think you mean to evaluate 
You need to use L'Hôpital's Rule:
If  = 0)
and  = 0)
then }{g(x)}} = \small \lim_{x \to c} \Large \frac {f'(x)}{g'(x)})
if the derivitives exist.
So:
If  = x^2 + x)
then ^2 + (-1) = 0)
and,
If  = x + 1)
then  + 1 = 0)
 = 2x)
and  = 1)
so:
}{1} = \frac {-2}{1} = -2)
John
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