3. * (Only for Math Graduate Students) section 2.2: page 48: #2.8. Let S (x g(x) > 0, i = 1,,m} and assume that the functions {g} are continuous. Prove that if gi(2) >0 for all i, then {r:||-|| 0.

Algebra & Trigonometry with Analytic Geometry
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
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3. * (Only for Math Graduate Students) section 2.2: page 48: #2.8.
Let S = {x: g(x) > 0, i = 1,.,m} and assume that the functions {g} are continuous.
Prove that if gi() > 0 for all i, then {r: ||-|| <e} CS for some > 0.
Transcribed Image Text:3. * (Only for Math Graduate Students) section 2.2: page 48: #2.8. Let S = {x: g(x) > 0, i = 1,.,m} and assume that the functions {g} are continuous. Prove that if gi() > 0 for all i, then {r: ||-|| <e} CS for some > 0.
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