- #1
screamtrumpet
- 16
- 0
Homework Statement
lim
x>b (b-x)/sqr rootx-sqr root b
The Attempt at a Solution
I multilplied the top and bottom by b+x and found b-x^s on the top and x-b on the bottom
screamtrumpet said:after factoring and simplifying i got my answer to be 2b
A limit problem is a mathematical concept in calculus that involves determining the value a function approaches as its input (usually denoted as x) approaches a specific value (usually denoted as a).
Mastering limit problems is important because it is a fundamental concept in calculus and is used to solve a wide range of problems in mathematics, physics, engineering, and other fields. It also helps develop critical thinking and problem-solving skills.
The most common approach to solving a limit problem is to first try to substitute the given value for the variable in the function and see if it results in a defined value. If not, then other methods such as factoring, simplifying, or using limit laws can be used.
Some common mistakes to avoid when solving limit problems include not properly understanding the concept, using incorrect algebraic manipulations, and forgetting to check for one-sided limits. It is also important to always check the answer using a graph or table to confirm its accuracy.
To improve your skills in mastering limit problems, it is important to practice regularly and seek help when needed. You can also try different approaches and techniques, such as using graphs or tables, to solve limit problems. Additionally, understanding the underlying concepts and connecting them to real-world applications can also help improve your skills.