8.1 Notes - Limit of a Sequence Let L be a real number. Let...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Calculus II Section 8.1 – Sequences A sequence is a function whose domain is the set of natural numbers. Write the first 5 terms of the sequence 1 n a n Compare: 1 ) ( x x f and 1 n a n Write the first 5 terms of the sequence )! 1 ( ! 3 n n a n Simplify: ! )! 2 ( n n Simplify: )! 2 ( )! 2 2 ( n n
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
We also need to be able to write the formula for the nth term of a sequence if we are given a few of the terms. Note that we are really finding the apparent formula because we can’t really be sure what comes next we can only go by the pattern that appears to be happening. Write an expression for the nth term of the following sequences:
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Limit of a Sequence Let L be a real number. Let f be a function of a real variable such that L x f x ) ( lim . If n a is a sequence such that n a n f ) ( for every positive integer n , then L a n n lim . Evaluate: n n e n sin lim = n n n n n 4 2 1 3 lim 3 2 = Determine the convergence or divergence of the sequence where n n a ) 1 ( 1 . Determine the convergence or divergence of the sequence where n n a n 1 sin . Determine the convergence or divergence of the sequence where n n n a 1 2 ....
View Full Document

This note was uploaded on 01/13/2012 for the course MATH 2564 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.

Page1 / 3

8.1 Notes - Limit of a Sequence Let L be a real number. Let...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online