Purchase Solution

Finding the Limit of a Function Tending to Infinity

Not what you're looking for?

Ask Custom Question

Let X(n)=Sum{1/(n+i), i=1->n}, find the limit of X(n) as n tends to infinity

Purchase this Solution
Solution Summary

This shows how to find the limit of a sum of a series.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • uniform convergence and proof

    a. We have So, . This implies Now consider, the ratio Taking the limit as n tending to infinity for the absolute value of this ratio, we get as The series converges if . Hence the radius of convergence is . b. We have So, .

  • Limit of a function

    So, This provides an example of finding the limit of a given function.

  • Standard Normal Distribution Function

    515110 Standard Normal Distribution Function Let Phi(x) be the cumulative distribution function in the standard normal distribution. a) Use L'Hopital's rule to show that the limit as x goes to - infinity of xPhi(x) equals 0.

  • Finding the limit of 100/x as x approaches infinity

    Since, Lim (1/x) = 0 x -> ∞ Limit of a function as x approaches infinity has been found. Solution is clear and easy to understand.

  • Finding a Function that Satisfies a Limit

    42940 Finding a Function that Satisfies a Limit Find a formula for a function f, that satisfies the following conditions: 1. lim(x->+/-infinity)f(x) = 0, 2. lim(x->0)f(x) = -infinity, 3. lim(x->3-)f(x) = infinity, 4. lim(x->3+)f

  • Differential Equation: Power Series

    39483 Differential Equation: Power Series Trouble finding the power series to resolve the question. This is a Bessel function of the first kind with n in the expansion set to zero.

  • L'hopital rule and finding the limits.

    The limit of the first option is 0, while the limit of the second is 1. In the solution the last page refers to the limit of the function where the power of the ln is 3/x.

  • Converting an Improper Integral

    Since f is a monotone continuous function, no matter it is monotone increasing or monotone decreasing, the limit of f as x goes to infinity exist.

  • Evaluating a Limit Involving a Riemann sum

    37847 Evaluating a Limit Involving a Riemann sum Evaluate the limit by first recognizing the sum as a Riemann sum of a function: the limit as n goes to infinity of (4/n)(sqrt(4/n)+sqrt(8/n)+...

  • Pointwise limit problem

    526112 Pointwise limit problem Let fk (x) = x^(1/k), k = 1, 2, 3, . . .. a) Determine the pointwise limit f of the sequence {fk} infinity k=1 on the interval [0, 1].

View More Related Solutions