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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 18E

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Question

#1. ii. Thanks.

f(a) = {
a sin ! r+0
i r= 0
1. Let
i Is f(x) continuous at 0? Justify
ii If f is discontinuous at 0, is the discontinuity removable or not? Justify
iii If the discontinuity of ƒ is removable, redefine f so that it's continuous at 0
iv Let f(x) = e=1/z² be defined on the domain {r : z + 0}.
- Find lim,0 e-1/2², if it exists.
Show that f can be defined at 0 in such a way that it is a continuous function on R
v Let f(æ) = sin , for # 0.
- Is f continuous at 0? Justify.
Can f be defined at 0 so that it's continuous on R? Justify

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