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Please answer quickly I just need to confirm my answer

Please answer quickly I just need to confirm my answer-example-1

1 Answer

3 votes

Given


\lim_(x\to5)(x^3-125)/(x-5)

Find

Estimate value of a limit

Step-by-step explanation

As we have


\lim_(x\to5)(x^3-125)/(x-5)

we use formula to find limit


a^3-b^3=(a-b)(a^2+b^2+ab)


\begin{gathered} \lim_(x\to5)(x^3-5^3)/(x-5) \\ \lim_(x\to5)((x-5)(x^2+5^2+5x))/(x-5) \\ \lim_(x\to5)x^2+25^+5x \\ 5^2+25+5*5 \\ 25+25+25 \\ 75 \end{gathered}

Final Answer

The estimate value of a limit is 75. So, the correct option is 3.

User Tjorchrt
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