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# Limits and continuity Answers

Limits and continuity
asked 2021-03-11

### Evaluate the following limits. $$\lim_{(x,y)\rightarrow(4,5)}\frac{\sqrt{x+y}-3}{x+y-9}$$

Limits and continuity
asked 2021-03-09

### Find each of the following limits. If the limit is not finite, indicate or for one- or two-sided limits, as appropriate. $$\lim_{x\rightarrow\infty}\frac{4x^3-2x-1}{x^2-1}$$

Limits and continuity
asked 2021-03-09

### Evaluate the following limits. $$\lim_{(x,y)\rightarrow(2,2)}\frac{y^2-4}{xy-2x}$$

Limits and continuity
asked 2021-03-09

### Find the limits: $$\lim_{x\rightarrow-2}\frac{x+2}{\sqrt{x^2+5}-3}$$

Limits and continuity
asked 2021-03-08

### Use the method of your choice to evaluate the following limits. $$\lim_{(x,y)\rightarrow(4,0)}x^2y\ln xy$$

Limits and continuity
asked 2021-03-07

### Find the limits: $$\lim_{(x,y)\rightarrow(0,0)}\cos\frac{x^2+y^3}{x+y+1}$$

Limits and continuity
asked 2021-03-06

### Use the method of your choice to evaluate the following limits. $$\lim_{(x,y)\rightarrow(2,0)}\frac{1-\cos y}{xy^2}$$

Limits and continuity
asked 2021-03-04

### Find the following limit: $$\lim_{x\rightarrow0}\frac{xe^x}{e^{3x}-1}$$

Limits and continuity
asked 2021-03-04

### Evaluate the following limit. $$\lim_{h\rightarrow0}\frac{100}{(10h-1)^{11}+2}$$

Limits and continuity
asked 2021-03-04

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

Limits and continuity
asked 2021-03-04

### Find the following limits or state that they do not exist. $$\lim_{h\rightarrow0}\frac{3}{\sqrt{16+3h}+4}$$

Limits and continuity
asked 2021-03-02

### Determine the following limits. $$\lim_{x\rightarrow1}\frac{1-x^2}{(x-1)^2}$$

Limits and continuity
asked 2021-02-26

### Find the function The following limits represent the slope of a curve y=f(x) at the point {a,f(a)} Determine a possible function f and number a, then calculate the limit $$\lim_{x\rightarrow2}\frac{5\cdot x^2-20}{x-2}$$

Limits and continuity
asked 2021-02-25

### Find the limit $$\lim_{x\rightarrow-\infty}\frac{x^2-4x+8}{3x^3}$$

Limits and continuity
asked 2021-02-25

### Evaluate the following limits. $$\lim_{(x,y)\rightarrow(0,\pi)}\frac{\cos xy+\sin xy}{2y}$$

Limits and continuity
asked 2021-02-25

### Find the following limits or state that they do not exist. $$\lim_{x\rightarrow4}\frac{31x-42\cdot\sqrt{x+5}}{3-\sqrt{x+5}}$$

Limits and continuity
asked 2021-02-25

### Evaluate the following limits. $$\lim_{x\rightarrow0^+}x^{x^2}$$

Limits and continuity
asked 2021-02-23

### Use Taylor's theorem to evaluate the following limits. $$\lim_{x\rightarrow0}\frac{3\sin^2(x)+2\sin^4(x)}{3x\tan(x)}$$

Limits and continuity
asked 2021-02-22

### Evaluate the following limits. $$\lim_{x\rightarrow0}\frac{\tan5x}{x}$$

Limits and continuity
asked 2021-02-22

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