Help to me prove limit of F(X)

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I want to prove this function,by the way find out δ(ε)

$\lim_\limits{x\to 7}\frac{(2x^2-11x-221)}{x-7}=17$

But I don't have any idea , except if x = 17 then limit equal to 17 :D

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Put $x=y+7$. Then $2x^2-11x-221 =2(y^2+14y+49)-11(y+7)-221 =2y^2+17y-200$

This does not go to zero with $y$ so your expression does not have a limit.