Question

estimate the Limit for x-2/x^2+x-6

Answer 1

as x goes to?

Answer 2

as x goes to 1. lol sorry i just realized i forgot to add that

Answer 3

you need to make a table?

Answer 4

you could just put in the number 1 for x to get the exact value

Answer 5

yeah i know, i just wasnt sure if the values needed have to correspond to the 1? (sorry its my first day learning this and my AP calculus teacher is like insane o.o 0

Answer 6

the limit should be 4 then?

Answer 7

no..not is the function is \[\frac{x-2}{x^2+x-6}\]

Answer 8

or is it

\[x-\frac{2}{x^2}+x-6\]

Answer 9

or something else

Answer 10

hmm ok so what am i doing wrong.. uhh my teacher explained it weird. i factored out the denominator got (x-2)(X+3) cancelled out the x-2 whic creates a hole in the graph. and used the x+3...

Answer 11

umm no you were right the first time

Answer 12

then you would get \[\frac{1}{4}\]

Answer 13

\[\frac{1-2}{1^2+1-6}=\frac{-1}{-4}=\frac{1}{4}\]

Answer 14

ok so im going to try the table now umm would i use points like .o1, .001 an stuff like that? thats what my teacher was using in different problems. so i was like o.o

Answer 15

no

Answer 16

you are going to 1 not zero

Answer 17

.9
.99
.999
.9999

Answer 18

1.1
1.01
1.001
1.0001

Answer 19

oh ok, i see what you are saying, it just depends on what x is going yo?

Answer 20

yes

Answer 21

ahh see you make this much more clearer then my math teacher thank you so much :D

Answer 22

no problem