using quantifiers
Not what you're looking for?
Please show complete solutions.
By definition, 〖lim〗_(n→∞ ) a_n=L if for every ε>0, the re exists a positive number N such that if n is an integer with n>N, then |a_n-L|<ε. By taking the negation of this definition, write out the meaning of 〖lim〗_(n→∞) a_n≠L using quantifiers. Then write out the meaning of {a_n } diverges using quantifiers.
Purchase this Solution
Solution Summary
The use of quantifiers is applied.
Solution Preview
By definition, 〖lim〗_(n→∞ ) a_n=L if for every ε>0, the re exists a positive number N such that if n is an integer with n>N, then ...
Education
- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
Recent Feedback
- "Thank you "
- "Thank You Chris this draft really helped me understand correlation."
- "Thanks for the prompt return. Going into the last meeting tonight before submission. "
- "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
- "Thanks for the product. It is an excellent guideline for the group. "
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.
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.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.