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# Calculus 1: limits and continuity solving # Recent questions in Limits and continuity

Limits and continuity asked 2021-02-21

### Find the limits $$\lim_{x\rightarrow0}\sec[e^x+\pi\tan(\frac{\pi}{4\sec x})-1]$$

Limits and continuity asked 2021-02-21

### Find the following limit: $$\lim_{(x,y)\rightarrow(3,3)}(\frac{x-y}{\sqrt x-\sqrt y})$$

Limits and continuity asked 2021-02-21

### Use the method of your choice to evaluate the following limits. $$\lim_{(x,y)\rightarrow(1,0)}\frac{y\ln y}{x}$$

Limits and continuity asked 2021-02-20

### Find the limits: $$\lim_{t\rightarrow1}\frac{t^2+t-2}{t^2-1}$$

Limits and continuity asked 2021-02-19

### Evaluate the following limits. $$\lim_{x\rightarrow0}\frac{\tan7x}{\sin x}$$

Limits and continuity asked 2021-02-18

### Evaluate the following limits. $$\lim_{x\rightarrow-3}\frac{\sin(x+3)}{x^2+8x+15}$$

Limits and continuity asked 2021-02-15

### Find the limits $$\lim_{x\rightarrow0}\frac{\sin x}{2x^2-x}$$

Limits and continuity asked 2021-02-12

### Find the following limit. $$\lim_{x\rightarrow+\infty}(\frac{3-12x}{3x+5}+\csc\frac{\pi x+\pi}{4x})$$

Limits and continuity asked 2021-02-11

### Find the limits. $$\lim_{x\rightarrow3\sqrt2}(\frac{x}{2}-\frac{1}{x})$$

Limits and continuity asked 2021-02-09

### Use the method of your choice to evaluate the following limits. $$\lim_{(x,y)\rightarrow(1,0)}\frac{\sin xy}{xy}$$

Limits and continuity asked 2021-02-09

### Evaluate the following limits. $$\lim_{x\rightarrow\infty}(3\cdot2^{1-x}+x^2\cdot2^{1-x})$$

Limits and continuity asked 2021-02-08

### Find the limits. $$\lim_{x\rightarrow\infty}\frac{e^{x^2}}{xe^x}$$

Limits and continuity asked 2021-02-05

### Evaluate the following limits. $$\lim_{(x,y,z)\rightarrow(1,1,1)}\frac{x^2+xy-xz-yz}{x-z}$$

Limits and continuity asked 2021-02-04

### Find the limit: $$\lim_{t\rightarrow\infty}e^{3t}\sin^{-1}\frac{1}{t}$$

Limits and continuity asked 2021-02-03

### A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist. $$f(x)=\begin{cases}\sqrt{x^2+7}&\text{if}&x<1\\4x&\text{if}&x\geq1\end{cases}$$ $$\lim_{x\rightarrow1} f(x)$$

Limits and continuity asked 2021-02-03

### Find the following complex limits. $$\lim_{n\rightarrow\infty}\frac{1}{3+ni}$$

Limits and continuity asked 2021-02-02

### Find the following complex limits. $$\lim_{n\rightarrow\infty}\frac{6n}{2n-n^2i}$$

Limits and continuity asked 2021-02-01

### Find the limit $$\lim_{b\rightarrow1^-}\int_0^b\frac{dx}{\sqrt{1-x^2}}$$

Limits and continuity asked 2021-02-01

### Find the limits. Write $$\infty\ or\ -\infty$$ where appropriate. $$\lim_{x\rightarrow2^-}\frac{x^2-3x+2}{x^3-2x^2}$$

Limits and continuity asked 2021-02-01

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