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complete the table and use it to evalutate the limit

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Hi Daisy,
 
 the function (x+1)/(x2-x-2) can be simplified by factoring the denominator into (x+1)(x-2) and the (x+1)'s cancel leaving
 
Limx→2 1/(x-2) =∞
 
table
x     1.9 1.99  1.999   2   2.001  2.01  2.1
f(x) -10 -100  -1,000  ∞  1,000  100   10
 
Regards
Jim

Comments

so to complete the table all you have to do is subtitude for the values of x?
If i have another problem just like this do i have always simplify just like you did with (x^2-x-2).
i have lim    (3-2x) all i have to do is subtitude for the values of x given from the table?
            x -->3
when you cancel x+1 i did you leave a 1 if you have
lim         x+1/(x+1)(x-2)
   x -->2
                         so i thought that the answer should be lim =x-2                                                  
                                                                                   x -->2
                                                                                       why is this wrong?
Daisy,
        Dividing anything by zero is not defined, as you can see from the table f(x) gets smaller and smaller the closer x gets to 2 when it is approached from the right. f(x) gets larger and larger when approached from the left. So you can see that f(x) does not have a specific value as x approaches 2
        Your other question, about making a table is yes you just substitute for each x.
 
        For example if f(x) =3-2x the table would be
x=    1    2   3   4    5
f(x)= 1  -1  -3  -5   -7
 
Let me know if this answers your questions
Jim
so thats all i have to do to evalutete the limit?
 
 
 
than youu so much