What is an equivalent expression of $$\lim_{x\rightarrow a}f\left(x\right)=L$$ ?

$$f\left(x\right)\rightarrow L$$ when $$x\rightarrow a$$

$$f\left(x\right)\rightarrow L$$

$$f\left(a\right)\rightarrow L$$

What does the statement " $$\lim_{x\rightarrow a}f\left(x\right)$$ exists" mean?

$$\lim_{x\rightarrow a}f\left(x\right)$$ is a finite number

$$\lim_{x\rightarrow a}f\left(x\right)=f\left(a\right)$$

$$\lim_{x\rightarrow a}f\left(x\right)>0$$

$$\lim_{x\rightarrow a}f\left(x\right)\ne\infty$$

Which of the following limit(s) can be computed using Leading Term Testing (LTT) ?

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

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

$$\lim_{x\rightarrow\infty}\frac{x-1}{\sqrt{x}-1}$$

$$\lim_{x\rightarrow1}\frac{x-1}{\sqrt{x}-1}$$

Use the Leading Term Testing to compute the limit.

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

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

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

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

What is our common sense about limit at infinity?

$$\lim_{A\rightarrow\infty}\ \frac{1}{A}=0$$

$$\infty$$ describes increasing values without bound

$$\lim_{A\rightarrow\infty}\ \frac{1}{A}=\frac{1}{\infty}$$

Calculus: Limits

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Which of the following limit(s) can be computed using Factorization?

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Which of the following limit(s) can be computed using Conjugate Product?

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Calculus: Limits

10 questions

Which of the following limit(s) can be computed using Factorization?

Which of the following limit(s) can be computed using Conjugate Product?

Which of the following limit(s) can be computed using Leading Term Testing (LTT)?

Use the Leading Term Testing to compute the limit.

What is our common sense about limit at infinity?

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