- #1
styxrihocc
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Homework Statement
Hey I just need someone to check my work to make sure I did it right, thanks.
Check Your Work: Get Accurate Results for Limit Problems | Homework Help
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In summary, when solving limit problems, it is important to check your work in order to obtain accurate results. This can be done by reviewing the steps taken to solve the problem, double-checking any calculations, and considering any potential errors or misconceptions. Additionally, utilizing helpful resources such as textbooks, online tutorials, or seeking guidance from a teacher or tutor can also ensure the accuracy of your solutions. By carefully checking your work, you can confidently approach limit problems and achieve the correct answers.
Hey I just need someone to check my work to make sure I did it right, thanks.
- #2
Mark44
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The step above has an error. ln <whatever> ≠ eln<whatever>.styxrihocc said:Homework Statement
Hey I just need someone to check my work to make sure I did it right, thanks.
Also, how did you go from (1 - 3/x)2x + 10 to (-3/x *2x + 10)?
Finally, eln(-6) ≠ -6, because ln(-6) is undefined.
styxrihocc said:
- #3
Mark44
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I should mention that posting a bunch of images of the work you've done makes it much more difficult to point out where errors happen to be. Using LaTeX you can format your work exactly as you have it in the images you uploaded.
- #4
styxrihocc
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Sorry but typing in latex takes too long so i just cropped the pics straight from my doc file
Mark44 said:
from this formula in my textbook:
Anyway seeing as my answer is wrong how should i go about this problem?
- #5
Mark44
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What turns out to be a convenience for you is inconvenient for me, and possibly others at this site whose help you are seeking.styxrihocc said:
Are you sure you typed the formula correctly? I've never seen the formula that you wrote, and I'm pretty sure it is incorrect.styxrihocc said:from this formula in my textbook:
styxrihocc said:
Your answer is correct, but you work along the way is not for the reasons I already gave.
The easiest thing to do is to rewrite ln(1 - 3/x)2x + 10 as (2x + 10)*ln(1 - 3/x), and then rearrange so that you can use L'Hopital's Rule.
FAQ: Check Your Work: Get Accurate Results for Limit Problems | Homework Help
How do I know if I have correctly solved a limit problem?
To check if you have correctly solved a limit problem, you can use the following steps:
1. Evaluate the limit at the given value of x.
2. Simplify the expression as much as possible.
3. Check if the simplified expression matches the given limit statement.
4. If the simplified expression matches the given limit statement, then your solution is correct.
What are some common mistakes to avoid while solving a limit problem?
Some common mistakes to avoid while solving a limit problem include:
- Forgetting to check for removable discontinuities (holes) in the function.
- Using the wrong limit rules, such as confusing the product rule for limits with the product rule for derivatives.
- Not simplifying the expression before taking the limit.
- Making algebraic errors while simplifying the expression.
Can I use a graphing calculator to check my work for a limit problem?
Yes, you can use a graphing calculator to check your work for a limit problem. You can graph the given function and visually check if your calculated limit matches the y-value at the given x-value.
However, it is important to remember that a graphing calculator can only provide an estimate and may not always be accurate.
How do I solve a limit problem with indeterminate form?
To solve a limit problem with indeterminate form, you can use the following techniques:
- Simplify the expression to see if it can be rewritten in a non-indeterminate form.
- Use algebraic manipulations, such as factoring or rationalizing, to simplify the expression.
- Apply L'Hopital's rule, which states that the limit of a quotient of two functions is equal to the limit of their derivatives.
Are there any tips or tricks for solving limit problems quickly?
Some tips and tricks for solving limit problems quickly include:
- Familiarize yourself with common limit rules, such as the sum, difference, product, and quotient rules.
- Practice simplifying expressions and identifying indeterminate forms.
- Use graphing calculators or online limit calculators to quickly check your work.
- When possible, try to simplify the expression before taking the limit.
- Keep in mind that practice and familiarity with limit problems will improve your speed and accuracy over time.