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
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
Daisy R.
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?
Report
04/25/14
Jim S.
tutor
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
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04/25/14
Daisy R.
so thats all i have to do to evalutete the limit?
than youu so much
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04/25/14
Daisy R.
04/25/14