Chapter 2: Limits and Continuity

Authored by Betsy Showers

Mathematics

12th Grade

CCSS covered

Used 6+ times

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30 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\lim_{x\rightarrow-2^-}\ f\left(x\right)=$

DNE

Tags

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\lim_{x\rightarrow-2^+}f\left(x\right)$

DNE

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\lim_{x\rightarrow-2^{ }}f\left(x\right)$

DNE

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the limit using a table or graph.

DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\lim_{x\rightarrow2^{ }}f\left(x\right)$

-2

DNE

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f(2) =

-3

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a Special Trig Limit?

$\lim_{x\rightarrow0}\ \frac{\sin x}{x}=1$

$\lim_{x\rightarrow0}\ \frac{x}{\sin x}=1$

$\lim_{x\rightarrow0}\ \frac{1-\cos x}{x}=0$

$\lim_{x\rightarrow0}\ \frac{x}{1-\cos x}=0$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the limit given

$1$

$-1$

$\frac{9}{5}$

$-\frac{9}{5}$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

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Chapter 2: Limits and Continuity

lim⁡x→−2− f(x)=\lim_{x\rightarrow-2^-}\ f\left(x\right)=x→−2−lim​ f(x)=

lim⁡x→−2+f(x)\lim_{x\rightarrow-2^+}f\left(x\right)x→−2+lim​f(x)

lim⁡x→−2f(x)\lim_{x\rightarrow-2^{ }}f\left(x\right)x→−2lim​f(x)

Find the limit using a table or graph.

lim⁡x→2f(x)\lim_{x\rightarrow2^{ }}f\left(x\right)x→2lim​f(x)

f(2) =

Which of the following is NOT a Special Trig Limit?

Evaluate the limit given

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$\lim_{x\rightarrow-2^-}\ f\left(x\right)=$

$\lim_{x\rightarrow-2^+}f\left(x\right)$

$\lim_{x\rightarrow-2^{ }}f\left(x\right)$

$\lim_{x\rightarrow2^{ }}f\left(x\right)$