Limits to Infinity

Other

10th - 12th Grade

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10 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is this limit?

$\infty$

$-\infty$

2/3

DNE

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is this limit?

$\infty$

$-\infty$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If $f\left(x\right)=\frac{8x^3-8}{4x^3-2}$ , find the value of the following limit.

+∞

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine the limit of the sequences 1, 2, 3, 4, 5, 6, ...

$\infty$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine the limit of the sequence 3, 3/2, 1, 3/4, 3/5, 3/6,...

$\infty$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Does this sequence converge or diverge? $\frac{1}{3},1,3,9,...$

Converges to 0

Converges to 1

Converges to 3

Diverges

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Does this sequence converge or diverge? $\left\{\frac{10n-6}{2n-3}\right\}$

Converges to 0

Converges to 2

Converges to 5

Diverges

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Does this sequence converge or diverge? $\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...$

Converges to 0

Converges to 1

Converges to 5

Diverges

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Limits to Infinity

What is this limit?

What is this limit?

If f(x)=8x3−84x3−2f\left(x\right)=\frac{8x^3-8}{4x^3-2}f(x)=4x3−28x3−8​ , find the value of the following limit.

Determine the limit of the sequences 1, 2, 3, 4, 5, 6, ...

Determine the limit of the sequence 3, 3/2, 1, 3/4, 3/5, 3/6,...

Does this sequence converge or diverge? 13,1,3,9,...\frac{1}{3},1,3,9,...31​,1,3,9,...

Does this sequence converge or diverge? {10n−62n−3}\left\{\frac{10n-6}{2n-3}\right\}{2n−310n−6​}

Does this sequence converge or diverge? 14,19,116,125,...\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...41​,91​,161​,251​,...

Evaluate the limit

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If $f\left(x\right)=\frac{8x^3-8}{4x^3-2}$ , find the value of the following limit.

Does this sequence converge or diverge? $\frac{1}{3},1,3,9,...$

Does this sequence converge or diverge? $\left\{\frac{10n-6}{2n-3}\right\}$

Does this sequence converge or diverge? $\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...$