Difference between revisions of "009C Sample Final 2, Problem 1"
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Kayla Murray (talk | contribs) (Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math> ::<span class="exam">b) <mat...") |
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| − | <span class="exam"> | + | <span class="exam">Test if the following sequences converge or diverge. Also find the limit of each convergent sequence. |
| − | ::<span class="exam">a) <math style="vertical-align: -12px">\ | + | ::<span class="exam">a) <math style="vertical-align: -12px">a_n=\frac{\ln(n)}{\ln(n+1)}</math> |
| − | ::<span class="exam">b) <math style="vertical-align: -12px">\ | + | ::<span class="exam">b) <math style="vertical-align: -12px">a_n=\bigg(\frac{n}{n+1}\bigg)^n</math> |
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 11:08, 18 February 2017
Test if the following sequences converge or diverge. Also find the limit of each convergent sequence.
- 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 a_n=\frac{\ln(n)}{\ln(n+1)}}
- 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 a_n=\bigg(\frac{n}{n+1}\bigg)^n}
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Solution:
(a)
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(b)
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |