 # Limits and Continuity Questions and Answers

Recent questions in Limits and continuity Daisy Hatfield 2023-03-27

## What is the limit of ${e}^{-x}$ as $x\to \infty$? Talon Cannon 2023-03-25

## How to find $lim\frac{{e}^{t}-1}{t}$ as $t\to 0$ using l'Hospital's Rule? postkortidvi 2023-03-24

## How to find the limit$\underset{h\to 0}{lim}\frac{{\left(4+h\right)}^{2}-16}{h}$? Grundelzgs2 2023-03-24

## What is the limit as x approaches negative infinity of $x+\sqrt{{x}^{2}+2x}$? Ivan Waters 2023-03-24

## How to evaluate the limit $\frac{\mathrm{sin}\left(5x\right)}{x}$ as x approaches 0? Daisy Hatfield 2023-03-23

## What are the $3$ conditions of continuity? Ressuli422p 2023-03-22

## How to find the limit of $\frac{\mathrm{sin}\left({x}^{2}\right)}{x}$ as $\theta \to 0$? Micheal Mcconnell 2023-03-09

## How to use a graphing calculator to find the limit of $x|x-4|$ as x approaches -1? Jamya White 2023-03-06

## How to find the limit of $\frac{\sqrt{{x}^{2}+11}-6}{{x}^{2}-25}$ as x approaches 5? Maribel Ali 2023-03-06

## How to find the Limit of $\mathrm{ln}\left(n+1\right)-\mathrm{ln}\left(n\right)$ as n approaches infinity? ImmonoKedo8bj 2023-02-26

## What is the limit as x approaches 0 from the right-hand side of ln(x)? esterificslo1 2023-02-25

## What is the limit of $\left(\mathrm{sin}x\right)\left(\mathrm{ln}4x\right)$ as x approaches 0? Zion Lewis 2023-02-18

## How to evaluate the limit $\frac{\mathrm{sin}\left(3x\right)}{x}$ as x approaches 0? FeelryclurN9g3z 2023-02-17

## How to find the limit of $\frac{x}{\mathrm{sin}x}$ as x approaches 0? Vanduohp 2023-02-17

## How to find the limit as x approaches 2 of the piecewise function $f\left(x\right)=\left\{\begin{array}{ll}4-{x}^{2}& \phantom{\rule{1ex}{0ex}}if\phantom{\rule{1ex}{0ex}}x\le 2\\ x-1& \phantom{\rule{1ex}{0ex}}if\phantom{\rule{1ex}{0ex}}x>2\end{array}$? Guadalupe Cooke 2023-02-17

## How to find the limit of $\frac{1-\mathrm{cos}x}{x}$ as x approaches 0? navelarp8c 2023-02-15

## How to find the limit of $\frac{1-\mathrm{cos}\left(4x\right)}{1-\mathrm{cos}\left(3x\right)}$ as x approaches 0? Reblausvtct 2023-02-15

## How to find the limit of ${x}^{2}\mathrm{sin}\left(\frac{1}{x}\right)$ as x approaches 0? Elaina Mullen 2023-02-15 Francis Dunlap 2023-02-14