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a_sh-v [17]
3 years ago
10

What is the domain of the graph? Put in correct notation

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

(-∞, 5]

Step-by-step explanation:

t hat would be  -∞  < x <=5

In interval notation it is (-∞, 5]

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If lim x-&gt; infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b
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We have

\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}

So

\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0

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To confirm, we have

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