3. • Use sequential continuity to show that any polynomial P(x) = x" + a,n-17"-1+...+ ao %3D is continuous from R to R. Give an example of a polynomial that has no zeros in R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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10.1. #3 

• Use sequential continuity to show that any polynomial P(x) = r" + a,n-1ª"-1+..+ ao
is continuous from R to R.
3.
• Give an example of a polynomial that has no zeros in R
Transcribed Image Text:• Use sequential continuity to show that any polynomial P(x) = r" + a,n-1ª"-1+..+ ao is continuous from R to R. 3. • Give an example of a polynomial that has no zeros in R
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