lim ⁡ x → ∞ x + 2 + x + 3 2 x + 5 = . . . . . . . . . . . . \lim_{x\rightarrow\infty}\ \frac{\sqrt{x+2}\ +\sqrt{x+3}}{\sqrt{2x+5}}\ =\ ............ x → ∞ lim 2 x + 5 <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"> x + 2 <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"> + x + 3 <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"> = . . . . . . . . . . . .

2 \sqrt{2} 2 <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">

1 5 \frac{1}{\sqrt{5}} 5 <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"> 1

limits to infinity

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.APR.D.6, HSF-IF.C.8B, HSA.APR.A.1

+6

Standards-aligned

Mostafa Ahmed

Used 7+ times

FREE Resource

24 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the limit. Hint: Where is the horizontal asymptote?

^-2/₉

0

$\infty$

$-\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the limit. Hint: Where is the horizontal asymptote?

³/₇

0

$\infty$

$-\infty$

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\lim_{x\rightarrow\infty}\ \frac{2x-3}{4x\ +1}$

0

DNE

1/2

2

Tags

CCSS.HSF-IF.C.8B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\lim_{x\rightarrow\infty}\left(2x^3+3x-1\right)=$
Hint: Think of the end behavior

$\infty$

$-\infty$

2

2/3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the limit

⁶/₅

0

$\infty$

$-\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\lim_{x\rightarrow\infty}\ \frac{x^3-x^2+1}{5-3x-x^4}=...$

0

-1

-5

$\infty$

$-\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\lim_{x\rightarrow\infty}\ \frac{1-2x+2x^3}{x^3+x+1}=\ ...$

- 4

- 2

1

2

$\infty$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

8.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$\lim_{x\rightarrow\infty}\ \frac{x+7}{\sqrt{4x^2+3x}}=...$

$-\infty$

$\infty$

$\frac{1}{2}$

0

$-\frac{1}{2}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

0

1/4

1

$\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\lim_{x\rightarrow\infty}\ \frac{3}{x^2}=..........$

$\infty$

zero

3

$\frac{1}{3}$

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limits to infinity

24 questions

Find the limit. Hint: Where is the horizontal asymptote?

Find the limit. Hint: Where is the horizontal asymptote?

lim⁡x→∞ 2x−34x +1\lim_{x\rightarrow\infty}\ \frac{2x-3}{4x\ +1}x→∞lim​ 4x +12x−3​

lim⁡x→∞(2x3+3x−1)=\lim_{x\rightarrow\infty}\left(2x^3+3x-1\right)=x→∞lim​(2x3+3x−1)= Hint: Think of the end behavior

Find the limit

lim⁡x→∞ x3−x2+15−3x−x4=...\lim_{x\rightarrow\infty}\ \frac{x^3-x^2+1}{5-3x-x^4}=...x→∞lim​ 5−3x−x4x3−x2+1​=...

lim⁡x→∞ 1−2x+2x3x3+x+1= ...\lim_{x\rightarrow\infty}\ \frac{1-2x+2x^3}{x^3+x+1}=\ ...x→∞lim​ x3+x+11−2x+2x3​= ...

lim⁡x→∞ x+74x2+3x=...\lim_{x\rightarrow\infty}\ \frac{x+7}{\sqrt{4x^2+3x}}=...x→∞lim​ 4x2+3x​x+7​=...

lim⁡x→∞ 3x2=..........\lim_{x\rightarrow\infty}\ \frac{3}{x^2}=..........x→∞lim​ x23​=..........

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$\lim_{x\rightarrow\infty}\ \frac{2x-3}{4x\ +1}$

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Hint: Think of the end behavior

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