Question

lim x approaches 1 x-1/x^2+6x-7

Answer 1

is that x-1 on top of the rest? if so, try to use () to enclose the top and bottom parts...just makes it easier to read

Answer 2

(x-1)/(x^2+6x-7)

as x->1 we of course get an indeterminate number 0/0

Answer 3

we should factor the bottom and see if that will elimiate some "problem" areas

Answer 4

on top

Answer 5

(x-1)
--------- we see whats going on now
(x+7)(x-1)

Answer 6

Exactly got the same thing by factoring

Answer 7

at x=1 there is a "hole" in the graph:

Answer 8

so the limit actually "approaches" 1/8 if we cancel terms and apply the limit

Answer 9

Ah ok I follow.

Answer 10

the graphs for 1/(x+7) and the one you wrote are the same except for one point....x=1 has a "hole" in yours, that isnt there in this one....

Answer 11

Yeah I see that .