If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the leading coefficient of denominator.

So then the limit would be 3/1 = 3.

Alternatively,

$\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}=\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}\cdot\dfrac{1/x^2}{1/x^2}=\lim_{x\to\infty}\dfrac{3+\frac6{x^2}}{1-\frac4{x^2}} = \dfrac{3+0}{1-0}=\boxed{3}$

Hope this helps.

5 0

2 years ago

I don't understand stand this

yanalaym [24]

Step-by-step explanation:

step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent

step 2. x = 56° (definition of an isosceles trapezoid)

step 3. x + y + z + 56 = 360 (definition of a quadrilateral)

step 4. y = z (definition of an isosceles trapezoid)

step 5. 56 + 2y + 56 = 360

step 6. 2y = 248

step 7. y = 124°, z = 124°.

6 0

2 years ago

25. Several functions represent different savings account plans. Which functions are linear?

Mice21 [21]

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

8 0

2 years ago

Choose the answer based on the most efficient method as presented in the lesson. If the first step in the solution of the equati

Keith_Richards [23]

You would add x to -3x

6 0

3 years ago

Read 2 more answers