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Calculus- Limits Test

Authored by Steven Malabicky

Mathematics

11th - 12th Grade

CCSS covered

Used 17+ times

Calculus- Limits Test
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22 questions

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1.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Media Image

Which of these answers have a limit of -1?  (More than one answer is possible)

 limx2\lim_{x\rightarrow2^-}  

 limx0\lim_{x\rightarrow0^{ }}  

 limx3\lim_{x\rightarrow3}  

 limx5\lim_{x\rightarrow5^-}  

 limx5+\lim_{x\rightarrow5^+}  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate:

 limx(π3)  x2tan(2x)\lim_{x\rightarrow\left(\frac{\pi}{3}\right)}\ \ \frac{x}{2}\tan\left(2x\right)  

 π36\frac{\pi\sqrt{3}}{6}  

 π36-\frac{\pi\sqrt{3}}{6}  

 π6-\frac{\pi}{6}  

 π318\frac{\pi\sqrt{3}}{18}  

 π318-\frac{\pi\sqrt{3}}{18}  

3.

OPEN ENDED QUESTION

5 mins • 5 pts

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

5 mins • 5 pts

Evaluate responses using AI:

OFF

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limx  17x43x2+3x98x73x5+3x2\lim_{x\rightarrow\infty}\ \ \frac{-17x^4-3x^2+3x-9}{8x^7-3x^5+3x-2}  

 178\frac{-17}{8}  

 ++\infty  

 -\infty  

 00  

 35\frac{3}{5}  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limx  30x68x23x2x63x5+x6\lim_{x\rightarrow\infty}\ \ \frac{30x^6-8x^2-3x}{-2x^6-3x^5+x-6}  

 00  

 -\infty  

 ++\infty  

 15-15  

 302\frac{30}{2}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limx  4x7+8x6+3x2+x211x37x2+3x+100\lim_{x\rightarrow\infty}\ \ \frac{4x^7+8x^6+3x^2+x-2}{11x^3-7x^2+3x+100}  

 411\frac{4}{11}  

 ++\infty  

 00  

 -\infty  

 125\frac{12}{5}  

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