Class Notes (835,381)
Canada (509,147)
Mathematics (2,835)
MAT137Y1 (152)
all (13)
Lecture

MAT 137Y 2007-08Winter Session, Self Generated Solutions to Problem Set 4.pdf

3 Pages
127 Views
Unlock Document

Department
Mathematics
Course
MAT137Y1
Professor
All Professors
Semester
Winter

Description
MAT137Y200708WinterSessionSolutionstoProblemSet41SHESection2258SupposelimfxLThenforanye0thereexistsd0suchthat0jxcjLxcjfxLjjfxL0jesoitimmediatelyfollowsthatlimfxLifandonlyifxclimfxL0bychoosingthesamedxc1x6060ThestatementisclearlyfalseLetfxThenlimfx0butthereisnosuchx00x0intervaloftheform0g0gsuchthatfx0forallxintheinterval62SupposelimfxLThenforanye0thereexistsd0suchthat0jxcjdxcjfxLeLefxLeLetBmaxjLejjLejthenitfollowsthatjfxjBasrequired2x441x2x2x22alimlimlim322x2x2x2x8x2x2x4x2x4123bBythedenitionofabsolutevalue115x1x5x1x55j5x1jj5x1j115x1x5x1x55Thereforeforvaluesclosetozeroj5x1j5x1andj5x1j5x1j5x1jj5x1j5x15x110xHencelimlimli
More Less

Related notes for MAT137Y1

Log In


OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit