Struggling with a Limit Calculation: Can You Help?

In summary, a limit calculation is a mathematical process used to determine the value of a function at a specific point. People often struggle with limit calculations due to their complexity and the need for practice and understanding of various techniques. Some tips for solving limit calculations include identifying the type of limit, using algebraic manipulation, and understanding the properties of different functions. Common mistakes to avoid include not considering the domain, not simplifying expressions, and not using the correct laws or theorems. To improve understanding, it is important to practice regularly, seek help, and break down complex problems into smaller, manageable steps.
  • #1
hugo.hribeiro
3
0
I was reviewing my concepts of limits and didnt manage to solve this one. Probably is simple but I am not managing to get it.

Limit (2^x * (x + 1)) / (1 - 3^x)
+oo

i can see the answer is 0 but can't manage to get it...

Thx in advance,
 
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  • #2
Recall that [itex]a^x=e^{\ln(a)x}[/itex].
 
  • #3
yea, i remember that one...but still no luck in refactoring to a possible 0 result.
 
  • #4
Divide top and bottom by 2^x.
 
  • #5
Got it... divide by 2^x and then divid again by x.

Thx people ;)
 

FAQ: Struggling with a Limit Calculation: Can You Help?

What is a limit calculation?

A limit calculation is a mathematical process used to determine the value of a function at a specific point. It involves finding the value that a function approaches as its input approaches a certain value.

Why do people struggle with limit calculations?

People often struggle with limit calculations because they involve complex mathematical concepts and can be challenging to understand and solve. They also require a lot of practice and understanding of various techniques.

What are some tips for solving limit calculations?

Some tips for solving limit calculations include identifying the type of limit, using algebraic manipulation, and using limit laws and theorems. It is also important to understand the properties and behaviors of different types of functions.

Are there any common mistakes to avoid when solving limit calculations?

Yes, some common mistakes to avoid when solving limit calculations include not considering the domain of the function, not simplifying expressions, and not using the correct limit laws or theorems. It is important to carefully check your work and identify any errors.

How can I improve my understanding of limit calculations?

To improve your understanding of limit calculations, it is essential to practice regularly, seek help from a tutor or teacher, and use online resources and textbooks. It is also helpful to break down complex problems into smaller, more manageable steps and to ask questions if you are unsure about a concept or technique.

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