Study Guides (238,292)
Canada (115,058)
MATH 157 (4)

Review Notes for Final Exam.pdf

6 Pages
Unlock Document

Simon Fraser University
MATH 157
Shiva Gol Tabaghi

Review Notes Lxflim1 Limit of a function we writeax and say the limit of fx as x approaches a equals L if we can make the value of fx arbitrary close to L as close to L as we like by taking x to be sufficiently close to a on either side of a but not equal to aFact LxfandLxfLxflimlimlim axaxaxSpecial Limits sin1xn1lim7182821limee xn0xn 2 Limit definition of Continuity of a function A function is continuous at a number aifafxflim axxflimafxflimNote a belongs to the domain of fb existcaxaxDiscontinuity of a function at a If1 f is defined on an open interval containing a except perhaps at a and2 f is not continuous at a we say that f is discontinuous at aTheorem Intermediate value theorem Suppose that f is continuous on the closed interval ab and let N be any number between fa and fb where fa fb Then there exists a number c in ab such that fcNTheorem Existence of Zeros of a continuous function If f is a continuous function on a closed interval ab and if fa and fb have opposite signs then there is at least on solution of the equation fx0 in the interval ab
More Less

Related notes for MATH 157

Log In


Don't have an account?

Join OneClass

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

Sign up

Join to view


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.