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Estimate the Limit Numerically or State That the Lim _(xarrow 4)(x^2-2x-8)/(x^2)-3x-4= (Enter Fif the Limit Doesn't Exist)

Soru

Estimate the limit numerically or state that the lim _(xarrow 4)(x^2-2x-8)/(x^2)-3x-4= (Enter Fif the limit doesn't exist)

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Profesyonel · 6 yıl öğretmeni

Cevap

To estimate the limit numerically, we can substitute values of x that are close to 4 into the expression and observe the behavior of the function.Let's substitute x = 3.9 and x = 4.1 into the expression: As we can see, the function approaches the value of 1.20 as x approaches 4. Therefore, the limit exists and is equal to 1.20.