Simple Forms of Limits: Taking bn or an Common

In summary, a simple form of limits is when a function approaches a particular value as its input approaches a specific value. To calculate a simple form of limit using bn or an common, you first need to factor out the common term and then simplify the expression. Some common examples of simple forms of limits include the limit of a polynomial function, rational function, and radical function as x approaches a. Simple forms of limits are important in mathematics because they help us understand the behavior of a function and determine its continuity and differentiability. To simplify a simple form of limit, algebraic techniques such as factoring and limit laws can be used.
  • #1
anmolnanda
20
0
LIMx[tex]\rightarrow[/tex]infinite (bn+an)1/n
it is given that 0<a<b
in this case why do we take bn or an common to make the inside element 0...and how do u guys take to solve this kind of situation how do u think?
 
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1. What is a simple form of limits?

A simple form of limits is when a function approaches a particular value as its input approaches a specific value. It is often represented as lim f(x) = L as x approaches a.

2. How do you calculate a simple form of limit using bn or an common?

To calculate a simple form of limit using bn or an common, you first need to factor out the common term and then simplify the expression. Then, you can take the limit as the common term approaches a particular value.

3. What are some common examples of simple forms of limits?

Some common examples of simple forms of limits include the limit of a polynomial function as x approaches a, the limit of a rational function as x approaches a, and the limit of a radical function as x approaches a.

4. Why are simple forms of limits important in mathematics?

Simple forms of limits are important in mathematics because they help us understand the behavior of a function at a particular point. They also allow us to determine the continuity and differentiability of a function, which is essential in many real-world applications.

5. What steps can you take to simplify a simple form of limit?

To simplify a simple form of limit, you can use algebraic techniques such as factoring, rationalizing the denominator, and simplifying complex fractions. You can also use limit laws and special limit formulas to simplify the expression.

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