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OpenStudy (anonymous):
Determine with limitrules if following sequence convergence, if yes then calculate its limit \[a_{n}:=\frac{(-1)^{n}}{n} + \frac{n^{2}+14}{7+n-n^{2}}\] for \[n\geq1\] Solution \[\Large a_{n}:=\frac{(-1)^{n}}{n} + \frac{n^{2}+14}{7+n-n^{2}}= 0 + \frac{n^{2}(1+\frac{14}{n^{2}})}{n^{2}(\frac{7}{n^{2}}+\frac{1}{n}-1)} =\] is it looks good or is it false ? \[ \Large \frac{1+0}{0+0-1}=\frac{1}{-1}=-1\]
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OpenStudy (anonymous):
yes good too much work, but good
OpenStudy (anonymous):
ok thank you :)
OpenStudy (anonymous):
yw
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