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we reshape the equation without actually changing anything to find the limit at this point .

why can't we do that to define the point on the function ?

i mean clearly if we say F(x) = x^2 - 1 / X - 1

we can reshape it by doing F(x) = (x-1) ( X+1 ) / x-1

which is equal to x +1

it only works for the limit , why doesn't it work for defining the function at this point ?

are we only limited to using the shape of the equation that the function is defined by ?

would changing the shape of the function ( the way we express it ) * even though it changes nothing mathematically * change the function ?