Can you do 11 please? Thanks
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Can you do 11 please? Thanks
Transcribed Image Text:11 Define f: R → R by f(x) = 8x if x is rational and f(x) = 2x² + 8 if x is irrational. Prove
from the definition of continuity that f is continuous at 2 and discontinuous at 1.
3.2 ALGEBRA OF CONTINUOUS FUNCTIONS
*12. Let p and q be polynomials and xo be a zero of q of multiplicity m. Prove that plq can be
assigned a value at xo such that the function thus defined will be continuous there iff xo is a
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