Inscribe a rectangle of base $b$ and height $h$ iā¦

02:36

Our team of expert educators are currently working on this.

Get notified when this problem is solved.

Our educator team will work on creating an answer for you in the next 6 hours.

Problem 84

Proof (a) Given that

$$\lim _{x \rightarrow 0}(3 x+1)(3 x-1) x^{2}+0.01=0.01$$ prove that there exists an open interval $(a, b)$ containing 0 such that $(3 x+1)(3 x-1) x^{2}+0.01>0$ for all $x \neq 0$ in $(a, b) .$

(b) Given that $$\lim _{x \rightarrow c} g(x)=L,$$ where $L>0,$ prove that there exists an open interval $(a, b)$ containing $c$ such that $g(x)>0$ for all $x \neq c$ in $(a, b) .$

## Discussion

## Video Transcript

No transcript available

## Recommended Questions