Search 75,412 tutors
1 0

# complete the table and use it to evalutate the limit

limx+1/x^2-x-2
x-->2

table
x   1.9   1.99  1.999  2  2.001  2.01  2.1
f(x)

what is missing is the values of f(x)

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

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