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Homework Statement
Give values of x where f(x)= x-1 / x2+4x+3 is continuous
f(x)= x2-4 / x2+x-2 Where x has removable discontinuity
Homework Equations
The Attempt at a Solution
Continuous, jump, infinite, removable.
It's been so long that I do not remember. I tried to look it up, but can not make sense of it. Continuous was continuous at all points, If I remember correctly. So I would have to plug in 1 and the result has to be 1. And it's removable when the factors on the top and bottom cancel. So it would be "removable" at -2. Not sure how to test for discontinuity. I can't really plug in a bunch of values until I find a hole. I suppose it's discontinuous when the equation is 0 ? So it would be all x except 1.
Same goes for jump and infinite.. not sure how to do this using an equation.