Day38-1432class - Math 1432 Register for Test 3 No Class Monday Work the review posted as blank slides then check your work using the lecture notes

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1432 Register for Test 3 No Class Monday – Work the review posted as blank slides then check your work using the “lecture” notes. THINK: The same three letter word can be inserted into each of these words to give a longer word in each case. REED OUTS BRICKING PING FED MISS DEED BEING SING SPED What is the word?
Background image of page 1

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

View Full DocumentRight Arrow Icon
Notes for series “growth”: Let p(k) be a polynomial in k. r k for r > 1 grows much faster than p(k) k! grows much faster than r k , p(k) k k grows much faster than the others Hence, ( 29 ( 29 ( 29 k k k k k k p k p k p k k r k r r k k k k , , ! ! , , ! ALL converge rapidly.
Background image of page 2
Section 11.7 Power Series
Background image of page 3

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

View Full DocumentRight Arrow Icon
Suppose that ( 29 = - 6 x 1 x f . If you divide 1 – x into 6, you get a “polynomial” that continues forever. ( 29 = + + + + + 2 3 4 P x 6 6x 6x 6x 6x ... This result is a power series. The word series indicates that there is an infinite number of terms. The word power tells us that each term contains a power of x. The series is also a geometric series, with |r|=x, so the series will converge for |x|<1.
Background image of page 4
By comparing the graphs of ( 29 = - 6 x 1 x f and P(x) with more and more terms, you will see that between - 1 and 1 (the interval of convergence), the two graphs converge.
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/06/2011 for the course MATH 1432 taught by Professor Morgan during the Spring '08 term at University of Houston.

Page1 / 25

Day38-1432class - Math 1432 Register for Test 3 No Class Monday Work the review posted as blank slides then check your work using the lecture notes

This preview shows document pages 1 - 6. Sign up to view the full document.

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