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2 years ago

Which statement is true?

Mathematics

1 answer:

s2008m [1.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

that's the answer sjakskkeieiidix

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If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

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

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

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

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

as required.

3 0

2 years ago

What is 14v14 divided by 72 in simplest form?

pychu [463]

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

8 0

3 years ago

Read 2 more answers

True or False If AM≅MB, then M must be the midpoint of AB

Juli2301 [7.4K]

Answer:

True

Step-by-step explanation:

is true bro yes is true

6 0

2 years ago

Plz help z + 8+2 over 3 £-4

nikitadnepr [17]

Answer:

z+10

Step-by-step explanation:

i did it on paper this is what i got!!!!

5 0

3 years ago

Please help me with this question

xxTIMURxx [149]

Answer:

Step-by-step explanation:

You do have some idea of how the question is done. It won't take much to learn the right answer.

braces = square root( length^2 + height^2)

braces = √( (12)^2 + (16)^2) )

braces = √(144 + 256)

braces = √(400)

braces = 20

6 0

3 years ago