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)/(x^{2}+ 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 x^{2}+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

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