Limit Techniques: Getting a Common Denominator

Related Topics

Wize University Calculus 1 Textbook > Limits

Computing Limits by Getting a Common Denominator

3 Activities

lim⁡x→101x−120−xx−10\displaystyle \lim_{x\rightarrow 10}\frac{\frac{1}{x}-\frac{1}{20-x}}{x-10}x→10lim​x−10x1​−20−x1​​

Answer

I don't know

More Computing Limits by Getting a Common Denominator Questions:

Limits: Factoring (Common Denominator)

Solve the limit lim⁡x→5x−x+10x−225−x2\displaystyle \lim\limits_{x\to 5}\frac{x-\frac{x+10}{x-2}}{25-x^2}x→5lim​25−x2x−x−2x+10​​.

Limits: Combining techniques

Solve the limit lim⁡x→39x−6x−1x2−5−2\displaystyle \lim\limits_{x\to 3} \frac{\frac{9}{x}-\frac{6}{x-1}}{\sqrt{x^2-5}-2}x→3lim​x2−5​−2x9​−x−16​​.

Limits by a common denominator

Practice: 0/0 Limit
Evaluate lim⁡t→1 3t−31−t\displaystyle\lim_{t\to1}\ \frac{\frac{3}{t}-3}{1-t}t→1lim​ 1−tt3​−3​, if it exists.