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OpenStudy (anonymous):
determine whether the folioing series converges or not: (1/2) + 8 + (243/8) + 64 +...+ (k^5)/(2^k)
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OpenStudy (anonymous):
ratio test should do it
OpenStudy (anonymous):
oh and the answer is yes, it converges
OpenStudy (anonymous):
ok when i do the ratio test i get \[(k ^{5}+1)\div 2K ^{5}\]
OpenStudy (anonymous):
yeah me too
OpenStudy (anonymous):
take the limit as k goes to infinity and you get 1/2 which is less than one, so you win
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OpenStudy (anonymous):
ohhhh ok! got it thanks again!!!
OpenStudy (anonymous):
clear yes? numerator is a poly of degree 5, denominator is a poly of degree 5, ratio of leading coefficients is 1/2
OpenStudy (anonymous):
yw again
OpenStudy (anonymous):
i would love to know how to do your last question though...
OpenStudy (anonymous):
haha I will let you know if i get it!
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