Difference between revisions of "009C Sample Final 1, Problem 2"
Jump to navigation
Jump to search
Kayla Murray (talk | contribs) |
Kayla Murray (talk | contribs) |
||
| (17 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
<span class="exam"> Find the sum of the following series: | <span class="exam"> Find the sum of the following series: | ||
| − | <span class="exam">a) <math>\sum_{n=0}^{\infty} (-2)^ne^{-n}</math> | + | <span class="exam">(a) <math>\sum_{n=0}^{\infty} (-2)^ne^{-n}</math> |
| − | <span class="exam">b) <math>\sum_{n=1}^{\infty} \bigg(\frac{1}{2^n}-\frac{1}{2^{n+1}}\bigg)</math> | + | <span class="exam">(b) <math>\sum_{n=1}^{\infty} \bigg(\frac{1}{2^n}-\frac{1}{2^{n+1}}\bigg)</math> |
| − | + | <hr> | |
| − | + | [[009C Sample Final 1, Problem 2 Solution|'''<u>Solution</u>''']] | |
| − | |||
| − | |||
| − | | | ||
| − | |||
| − | ''' | + | [[009C Sample Final 1, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']] |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
[[009C_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | [[009C_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 17:57, 2 December 2017
Find the sum of the following series:
(a)
(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=1}^{\infty} \bigg(\frac{1}{2^n}-\frac{1}{2^{n+1}}\bigg)}