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3 years ago

1

Mathematics

1 answer:

LekaFEV [45]3 years ago

8 0

The answer should be B.

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Does anyone know how to solve this? It’s really starting to stress me out.

bekas [8.4K]

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

3 0

3 years ago

Can any one help me out n this one pls

antoniya [11.8K]

It's D. 311 divided by 12 is 25.9

4 0

4 years ago

Read 2 more answers

Pls help i will give brainliest

kirill [66]

Answer:

1) 2

2) -2

Step-by-step explanation:

x - 5 = -3

Add 5 to both sides

x = 2

3 - 2x = x + 9

Add 2x to both sides.

3 = 3x + 9

Subtract 9 from both sides

-6 = 3x

Divide both sides by 3

-2 = x

x = -2

Hope this helps you understand! :D

8 0

3 years ago

Simplify.

Dafna1 [17]

Answer:

A) 7x^3 + 13x^2 + 8x + 9

Step-by-step explanation:

(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

I like to line them up vertically

7x^3 +3x^2 + 2x

+ (10x^2 + 6x + 9)

-----------------------------------

7x^3 +13x^2 +8x +9

4 0

3 years ago

Read 2 more answers

Pls help me my dads gonna hit me if i dont get this done

Tpy6a [65]

Answer:

(I can't answer if its greater than, less than, or equal to because you didn't

specify the number I have to compare to)

2. $\frac{35}{8}$

3. greater than

4. $\frac{1}{9}$

5. $\frac{1}{6}$

6. $\frac{4}{5}$

Step-by-step explanation:

3 0

3 years ago