Mathematics
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OpenStudy (anonymous):
Determine whether the following series diverge or converge.
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OpenStudy (anonymous):
OpenStudy (anonymous):
I said 1 and 2 are convergent and 3 is divergent.
OpenStudy (anonymous):
Please help (:
OpenStudy (anonymous):
Thanks
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OpenStudy (anonymous):
Wait
OpenStudy (jskhupmang):
np! :)
OpenStudy (anonymous):
How does 3/5^n + 3/n diverge?
OpenStudy (jskhupmang):
because coefficient of top and bottom are 1
OpenStudy (anonymous):
3?
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OpenStudy (jskhupmang):
I meant not equal to 1
OpenStudy (anonymous):
I still do not understand... could you explain further please? :)
OpenStudy (jskhupmang):
sure for instance if the an= 2x+whocare/2x+whocare the only thing you look at is the coefficient
OpenStudy (anonymous):
couldn't we just say it is the infinite sum of 1/5^n + 1/n times 3?
OpenStudy (jskhupmang):
2x/2x =1 which means converge if not it is diverge
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OpenStudy (anonymous):
wait would 1/5^n be diverging?
OpenStudy (jskhupmang):
I assume it is
OpenStudy (anonymous):
Do you possibly know how or why? :)
OpenStudy (anonymous):
I just checked and apparently 1/ 5^n does converge.
OpenStudy (jskhupmang):
becuase 1 does not have variable but the denominator which is 5^n power which is any number
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OpenStudy (anonymous):
ok ty
OpenStudy (jskhupmang):
aha it is not converge