Suppose $$f,g\ :\ A\to\ \mathbb{R}\ $$ with $$A\subseteq\ \mathbb{R}\ $$ and c is cluster point for $$A$$ . If $$g\left(x\right)\le\ f\left(x\right)$$ for $$x\in\ A,\ x\ne\ c$$ , then following steatment is WRONG is...

If $$\lim_{x\to\ c\ }f\left(x\right)=\infty$$ , then $$\lim_{x\to\ c}\ g\left(x\right)=\infty$$

If $$\lim_{x\to\ c}\ f\left(x\right)=-\infty$$ , then $$\lim_{x\to\ c}\ g\left(x\right)=-\infty$$

If f and g have limit on $$\mathbb{R}\ $$ , then $$\lim\ _{x\to\ c}\ g\left(x\right)\le\ \lim_{x\to\ c}\ f\left(x\right)$$

If $$\lim_{x\to\ c}\ g\left(x\right)=\infty$$ , then $$\lim_{x\to\ c}\ f\left(x\right)=\infty$$

Pre-Quiz

Authored by Helmi Firdaus

Mathematics

University

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The rudimentary notion of limiting process emerged in the 1680s by...

Isaac Newton

Johannes Kepler

Galileo Galilei

Simon Stevin

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Cluster point and limit point is same in real number.

True

Partially true

Not sure

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The following set that does not have cluster points is...

(3,4)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True

False

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