Difference between revisions of "009C Sample Midterm 2, Problem 5"

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[[009C Sample Midterm 2, Problem 5 Solution|'''<u>Solution</u>''']]
  
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!Foundations: &nbsp;
 
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[[009C Sample Midterm 2, Problem 5 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
'''Solution:'''
 
  
'''(a)'''
 
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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'''(b)'''
 
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!Step 2: &nbsp;
 
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!Final Answer: &nbsp;
 
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|&nbsp; &nbsp; '''(a)''' &nbsp; &nbsp; converges (by the geometric series test)
 
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|&nbsp; &nbsp; '''(b)''' &nbsp; &nbsp; converges (by the geometric series test)
 
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[[009C_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 11:42, 12 November 2017

If  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^\infty c_nx^n}   converges, does it follow that the following series converges?

(a)  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^\infty c_n\bigg(\frac{x}{2}\bigg)^n}

(b)  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^\infty c_n(-x)^n }



Solution


Detailed Solution


Return to Sample Exam