T h e lim ⁡ x → 0 f ( x ) The\ \lim_{x\rightarrow0}f\left(x\right)\ T h e x → 0 lim f ( x ) fails to exist because...

The function only approaches zero from one side.

T h e lim ⁡ x → 2 f ( x ) The\ \lim_{x\rightarrow2}f\left(x\right)\ T h e x → 2 lim f ( x ) fails to exist because...

As the function approaches two, the graph increases or decreases without bound.

As the function approaches two, l eft and right of two do not match

As the function approaches two, the graph oscillates.

lim ⁡ x → 3 − f ( x ) = \lim_{x\rightarrow3^-}f\left(x\right)= x → 3 − lim f ( x ) =

6 \sqrt{6} 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

One-Sided and Infinite Limits

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One-Sided and Infinite Limits

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Mathematics

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11th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSA.REI.D.10, HSA.APR.D.6, HSF.IF.A.2

+12

Standards-aligned

Kathleen Minneker

Used 155+ times

FREE Resource

21 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the value of the limit

-1

DNE

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the value of the limit

∞

-∞

DNE

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the value of the limit

∞

-∞

DNE

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the given function to determine the limit

-4

-9

DNE

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the given function to determine the value of the limit

-6

-28

DNE

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the given function to determine the value of the limit

DNE

-12

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$The\ \lim_{x\rightarrow0}f\left(x\right)\$ fails to exist because...

As the function approaches zero, left and right of zero do not match

As the function approaches zero, the graph oscillates.

As the function approaches zero, the graph increases without bound.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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The lim⁡x→0f(x) The\ \lim_{x\rightarrow0}f\left(x\right)\ The x→0lim​f(x) fails to exist because...

The lim⁡x→0f(x) The\ \lim_{x\rightarrow0}f\left(x\right)\ The x→0lim​f(x) fails to exist because...

The lim⁡x→2f(x) The\ \lim_{x\rightarrow2}f\left(x\right)\ The x→2lim​f(x) fails to exist because...

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$The\ \lim_{x\rightarrow0}f\left(x\right)\$ fails to exist because...

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$The\ \lim_{x\rightarrow2}f\left(x\right)\$ fails to exist because...