Hi,
sorry in advance if my layout below is basic/primitive, this is my first post.
I have been asked to "evaluate the following limit"
limit as x approaches 1 for (x-7)/(x2 + x - 2)
Substituting 1 for x I get -6/0 which is undefined so I tried to use the PSF method to factorise the denominator x2 +x - 2 which got me to (x+2)(x-1).
This didn't get me much further and still brings me to -6/0. The answer in my booklet tells me as x approaches 1 the function will equal negative infinity but I don't understand why this is.
Is it because as x approaches 1 the denominator approaches 0?
Thanks
sorry in advance if my layout below is basic/primitive, this is my first post.
I have been asked to "evaluate the following limit"
limit as x approaches 1 for (x-7)/(x2 + x - 2)
Substituting 1 for x I get -6/0 which is undefined so I tried to use the PSF method to factorise the denominator x2 +x - 2 which got me to (x+2)(x-1).
This didn't get me much further and still brings me to -6/0. The answer in my booklet tells me as x approaches 1 the function will equal negative infinity but I don't understand why this is.
Is it because as x approaches 1 the denominator approaches 0?
Thanks