Find N to Solve Summation Math Problem - Get Help Now!

  • Thread starter tomboi03
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In summary, the purpose of solving summation math problems is to find the sum of a series of numbers, which is useful in various fields. The process involves identifying the pattern, determining the formula, and plugging in values. Common techniques include using formulas and algebraic manipulation. Mistakes to avoid include forgetting formulas and not considering limits. While not necessary, seeking help can be beneficial for struggling individuals.
  • #1
tomboi03
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Find an N so that
N​
0< e-[tex]\sum[/tex] 1/n! < 10^-14
n=0​

I seriously don't know how to go about this problem.
Please help me out.

Thanks
 
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  • #2


since we know
e=1+1+1/2+1/6+...+1/n!+...
e-(1+1+1/2+1/6+...+1/n!)=1/(n+1)!+...<1/(n*n!)
so chose n at least so large that
1/(n*n!)<10^-14
 

What is the purpose of solving summation math problems?

The purpose of solving summation math problems is to find the sum of a series of numbers. This can be useful in various fields such as statistics, finance, and engineering.

What is the process for solving a summation math problem?

The process for solving a summation math problem involves identifying the pattern of the series, determining the formula for the summation, and then plugging in the values to find the final answer.

What are some common techniques for solving summation math problems?

Some common techniques for solving summation math problems include using the summation formula, using geometric or arithmetic series formulas, and using algebraic manipulation.

What are the common mistakes to avoid when solving summation math problems?

Some common mistakes to avoid when solving summation math problems include forgetting to apply the necessary formulas, making calculation errors, and not considering the limits of the series.

Is it necessary to seek help when solving summation math problems?

While it is not always necessary to seek help when solving summation math problems, it can be beneficial to get assistance from a tutor or teacher if you are struggling to understand the concepts or if you are stuck on a particular problem.

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