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A company training program determines that, on average, a new employee can do P(x) pieces of work per day after s days of on-the-job training, where P(x) = 90 + 60x x + 5 . Find lim x→5 P(x).

Respuesta :

Answer: The value of [tex]\lim_{x \to 5} P(x)[/tex] is 39.

Step-by-step explanation:

Since we have given that

[tex]P(x)=\dfrac{90+60x}{x+5}[/tex]

where x be the number of days of on the job training.

We need to find the [tex]\lim_{x \to 5} P(x)[/tex]

So, it becomes,

[tex]\lim_{x \to 5} \dfrac{90+60x}{x+5}\\\\ =\dfrac{90+60\times 5}{5+5}\\\\=\dfrac{90+300}{10}\\\\=\dfrac{390}{10}\\\\=39[/tex]

Hence, the value of [tex]\lim_{x \to 5} P(x)[/tex] is 39.

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