Quiz about แบบทดสอบลิมิตของฟังก์ชันA-Le

Question 1

$$\lim_{x\rightarrow-3}\left(\frac{x^2-9}{\sqrt[]{12-\sqrt[]{x^2}}-3}\right)$$

Accepted Answer

$$\infty$$

Answer

$$36$$

Answer

$$-36$$

Answer

$$หาค่าไม่ได้$$

Question 2

$$\lim_{x\rightarrow0}\frac{\sqrt[3]{x+1}-1}{x}$$

Accepted Answer

$$\infty$$

Answer

$$\frac{2}{6}$$

Answer

$$-\frac{2}{6}$$

Answer

$$หาค่าไม่ได้$$

Question 3

$$กำหนด\ f\left(x ight)=x-\sqrt[]{x^2+9}\ ;x e-4\ และ\ f\left(x ight)=4+x\ ;x=-4$$

$$ถ้า\ g\left(x ight)=\frac{\left(x+4 ight)f\left(x ight)}{\left(x+4 ight)}\ แล้ว\ \lim_{x ightarrow\ \left(-4 ight)}g\left(x ight)\ ตรงกับข้อใด$$

Accepted Answer

-9

Answer

9

Answer

$$\infty$$

Answer

$$หาค่าไม่ได้$$

Question 4

$$\lim_{x\rightarrow\infty\ }x\ \left(\sqrt[]{x^2+1}\ -x\right)\ \ ตรงกับข้อใด$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{-1}{2}$$

Answer

0

Answer

$$\infty$$

Question 5

$$\lim_{x\rightarrow\infty\ }\ \frac{2^x-3^x}{4^x+7^x}\ \ ตรงกับข้อใด$$

Accepted Answer

0

Answer

$$\frac{1}{2}$$

Answer

$$\frac{-1}{2}$$

Answer

$$\infty$$

Question 6

$$\lim_{x\rightarrow\infty\ }\ \frac{\sqrt[]{5x^2-2}}{x+3}\ \ ตรงกับข้อใด$$

Accepted Answer

$$\sqrt[]{5}$$

Answer

5

Answer

0

Answer

$$\infty$$

Question 7

$$\lim_{x\rightarrow0}\ \frac{\sqrt[]{x+4}-2}{x}\ \ ตรงกับข้อใด$$

Accepted Answer

$$\frac{1}{4}$$

Answer

5

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{1}{2}$$

Question 8

$$\lim_{x\rightarrow\infty}\ \frac{\sqrt[]{4x^2+2x+1}}{3x}\ \ ตรงกับข้อใด$$

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Question 9

$$\lim_{x\rightarrow0}\ \frac{x}{\sqrt[]{x^3-x+9}-3}\ \ ตรงกับข้อใด$$

Accepted Answer

-6

Answer

$$3$$

Answer

6

Answer

0

Question 10

$$\lim_{x\rightarrow\left(-2\right)}\ \frac{\sqrt[]{4x^2}-4}{2-\left|x\right|}\ \ ตรงกับข้อใด$$

Accepted Answer

-2

Answer

-1

Answer

1

Answer

2

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