Difference between revisions of "009C Sample Final 3, Problem 1"
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| − | <span class="exam"> Which of the following sequences <math>(a_n)_{n\ge 1}</math> converges? Which diverges? Give reasons for your answers! | + | <span class="exam"> Which of the following sequences <math style="vertical-align: -5px">(a_n)_{n\ge 1}</math> converges? Which diverges? Give reasons for your answers! |
| − | <span class="exam">(a) <math>a_n=\bigg(1+\frac{1}{2n}\bigg)^n</math> | + | <span class="exam">(a) <math style="vertical-align: -15px">a_n=\bigg(1+\frac{1}{2n}\bigg)^n</math> |
| − | <span class="exam">(b) <math>a_n=\cos(n\pi)\bigg(\frac{1+n}{n}\bigg)^n</math> | + | <span class="exam">(b) <math style="vertical-align: -15px">a_n=\cos(n\pi)\bigg(\frac{1+n}{n}\bigg)^n</math> |
| − | + | <hr> | |
| − | + | [[009C Sample Final 3, Problem 1 Solution|'''<u>Solution</u>''']] | |
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| − | '''Solution | + | [[009C Sample Final 3, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']] |
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 18:39, 2 December 2017
Which of the following sequences converges? Which diverges? Give reasons for your answers!
(a)
(b)
