I need the work explanation I wont rate well if I cant unde

I need the work / explanation. I won\'t rate well if I can\'t understand how you get the solution

Consider the limit

lim x-->2 ((x^2-3x+2)/(x-2))

Compute the value of the limit with algebra

Find an interval containing a=2 such that the difference between the value of the limit and the value of the function f(x) shown above is less than 0.001 on that interval.

Solution

lim x-->2 ((x^2-3x+2)/(x-2)) => [( x-2)(x-1)] / (x-2) = (x-1) Put x = 2 limit = 2-1 =1
I need the work / explanation. I won\'t rate well if I can\'t understand how you get the solution Consider the limit lim x-->2 ((x^2-3x+2)/(x-2)) Compute the

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