Difference between revisions of "009C Sample Midterm 1, Problem 2"

Latest revision as of 22:52, 11 November 2017

Consider the infinite series $\sum _{n=2}^{\infty }2{\bigg (}{\frac {1}{2^{n}}}-{\frac {1}{2^{n+1}}}{\bigg )}.$

(a) Find an expression for the $n$ th partial sum $s_{n}$ of the series.

(b) Compute $\lim _{n\rightarrow \infty }s_{n}.$

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 <span class="exam">(b) Compute &nbsp;<math style="vertical-align: -11px">\lim_{n\rightarrow \infty} s_n.</math>
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+[[009C Sample Midterm 1, Problem 2 Solution|'''<u>Solution</u>''']]
+[[009C Sample Midterm 1, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
-[[009C Sample Midterm 1, Problem 2 Detailed Solution|'''<u>Detailed Solution for this Problem</u>''']]
 [[009C_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]