cherrilyn
  • cherrilyn
Determine the limit of the sequence..
Mathematics
schrodinger
  • schrodinger
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cherrilyn
  • cherrilyn
\[b _{n} = 3n+1/2n+4 \] using the Theorem \[\lim_{n \rightarrow \infty} a _{n} = \lim_{x \rightarrow \infty} f(x)\]
anonymous
  • anonymous
infinity
anonymous
  • anonymous
is it (3n+1)/2n + 4??

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anonymous
  • anonymous
if it is then the answer is 5.5
anonymous
  • anonymous
or is it (3n+1)/(2n+4) if it is that the answer is 3/2
anonymous
  • anonymous
choose...
anonymous
  • anonymous
I would put money on it being the second one
cherrilyn
  • cherrilyn
no parenthesis
anonymous
  • anonymous
none anywhere? then its infinity
cherrilyn
  • cherrilyn
even by using the theorem?
anonymous
  • anonymous
ive used the theorem
cherrilyn
  • cherrilyn
hmm okay . what about \[b_{n} = (-1)^{2n+1}\]
cherrilyn
  • cherrilyn
..-1^infty
anonymous
  • anonymous
= - 1 x (-1)^2n
anonymous
  • anonymous
=-1 for all n
anonymous
  • anonymous
yeah
anonymous
  • anonymous
raising anything to a even power is positive
cherrilyn
  • cherrilyn
isn't it odd?
anonymous
  • anonymous
well, should be "for all integer n's"
anonymous
  • anonymous
no, (2n) is an even number
cherrilyn
  • cherrilyn
oh.. so you disregard the 1 ?
anonymous
  • anonymous
no :|
anonymous
  • anonymous
x^(a+b) = (x^a)(x^b)
anonymous
  • anonymous
so \[(-1)^{2n+1} = (-1)^{2n} (-1)^1 = - (-1)^{2n}\]
anonymous
  • anonymous
and -1 to an even integer power is +1so (-1) x (1) = -1
cherrilyn
  • cherrilyn
ahhhhhhh. thank you!

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