# Get help with limits and continuity

Recent questions in Limits and continuity
Linda Norman 2022-12-25

### Evaluate:$\mathrm{lim}x\to 0\frac{{e}^{x}-{e}^{\mathrm{sin}x}}{x-\mathrm{sin}x}$ A)$-1$; B)$0$; C)$1$; D)None of these

Nicholas Hunter 2022-11-15

### Find the limit:$\underset{t\to 0}{lim}\left(\frac{{e}^{-8t}-1}{t},\frac{{t}^{7}}{{t}^{8}-{t}^{7}},\frac{5}{7+t}\right)$

Ryder Ferguson 2022-10-31

### How to find the oblique asymptote of root of a function? $f\left(x\right)=\sqrt{4{x}^{2}+x+6}$

bolton8l 2022-10-08

### Proof that $lim\left(\vartheta \left(x\right)-x\right)\ne 0?$ ?

Jamarcus Schroeder 2022-08-28

### Find $\underset{x\to 0}{lim}\mathrm{cos}\left(\pi {x}^{2}\mathrm{csc}\left(\frac{x}{2}\right)\mathrm{cot}\left(6x\right)\right)$

bravere4g 2022-08-24

### Prove $\underset{n\to \mathrm{\infty }}{lim}{a}_{n}=\underset{n\to \mathrm{\infty }}{lim}\frac{2n-1}{3n+2}=\frac{2}{3}$

silastls 2022-08-24

### 6.Find the limit\lim_{x \to \infty} (e^{-2x} \cos x)7.Find the limit\lim_{x \to (9\pi/2)^+} e^{\tan x}

bravere4g 2022-08-24

### Prove $\underset{n\to \mathrm{\infty }}{lim}{a}_{n}=\underset{n\to \mathrm{\infty }}{lim}\frac{2n-1}{3n+2}=\frac{2}{3}$

Celine Alfaro 2022-08-23
embelurildmixjm 2022-08-22

### Finding $\underset{n\to \mathrm{\infty }}{lim}\frac{\sqrt{n!}}{{2}^{n}}$

phoreeldoefk 2022-08-21

### Find the value of : $\underset{n\to \mathrm{\infty }}{lim}\prod _{k=1}^{n}\mathrm{cos}\left(\frac{ka}{n\sqrt{n}}\right)$

Felix Fitzgerald 2022-08-20

### Find the slope of the tangent line to the parabola $y=4x-{x}^{2}$ at the point (1,3), i) using Definition 1, ii) using Equation 2

suffisantfn 2022-08-20

### Find the limit, if it exists, or show that the limit does not exist. $lim\left(x,y\right)$ tends to (1,0) $xy-\frac{y}{{\left(x-1\right)}^{2}}+{y}^{2}$

Dillan Valenzuela 2022-08-19

### How does $\underset{n\to \mathrm{\infty }}{lim}\frac{f\left(n\right)}{g\left(n\right)}=0$ imply that $f\left(n\right)\in \mathcal{O}\left(g\left(n\right)\right)$ ?

Braeden Valenzuela 2022-08-19

### At what point is the tangent to $f\left(x\right)={x}^{2}+4x-1$ horizontal?

embelurildmixjm 2022-08-19

### If $2x\le g\left(x\right)\le {x}^{4}-{x}^{2}+2$ for all x, evaluate $limx$ tends to 1 g(x).

Patience Owens 2022-08-19

### Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.$p\left(v\right)=2\sqrt{3{v}^{2}+1},a=1$

Leonidas Cook 2022-08-18

### Determine whether f'(0) exists. $f\left(x\right)={x}^{2}\frac{\mathrm{sin}1}{x}$ if x is not equal to 0, 0 if x=0

Garrett Sheppard 2022-08-14

### Evaluating $\underset{n\to \mathrm{\infty }}{lim}{\left(1-\frac{x}{{n}^{1+a}}\right)}^{n}$

heelallev5 2022-08-12

### How do I show that ${2}^{n}/n!$is bounded above?

Dealing with calculus and analysis, the chances are high that you will encounter limits and continuity as one of the mathematical challenges. The best way to find answers to your problems is by turning to limits and continuity problems with solutions by exploring how one came to a certain outcome. Regardless if you are dealing with equations or already have some answers that you cannot explain, calculus limits and continuity examples will help you achieve success. Have a look at our calculus limits and continuity problems that we have presented below to apply mathematical analysis as you have some examples.