Question

как разложить знаменатель? можно полное решение?

Answer 1

               (x-1)(x+1)(√x+1)               (x-1)(x+1)(√x+1)

...=lim   ---------------------- = lim   ----------------------- = lim  (x+1)(√x+1)=(1+1)(√1+1)=2*2=4

    x-->1      (√x-1)(√x+1)                        x-1

 

 

 

 

Answer 2

How to Decompose a Denominator

To decompose a denominator, you need to factorize it into its prime factors. This process is also known as prime factorization. By breaking down the denominator into its prime factors, you can simplify fractions and perform various mathematical operations more easily.

Here is a step-by-step guide on how to decompose a denominator:

1. Start by finding the prime factors of the denominator. Prime numbers are numbers that are divisible only by 1 and themselves. For example, the prime factors of 12 are 2, 2, and 3.

2. Write down the prime factors in ascending order. For example, the prime factors of 12 are 2, 2, and 3. So, you would write it as 2 * 2 * 3.

3. If there are any repeated prime factors, write them as exponents. For example, since 2 is repeated twice in the prime factorization of 12, you can write it as 2^2 * 3.

4. The decomposed form of the denominator is the product of the prime factors with their respective exponents. In the case of 12, the decomposed form would be 2^2 * 3.

Please note that without a specific denominator provided, I have used the number 12 as an example. If you have a specific denominator in mind, please let me know, and I can provide a more tailored explanation.

Let me know if you have any further questions or need additional clarification!