Question

Determine the limit of the sequence..

Answer 1

\[b _{n} = 3n+1/2n+4 \]


using the Theorem \[\lim_{n \rightarrow \infty} a _{n} = \lim_{x \rightarrow \infty} f(x)\]

Answer 2

infinity

Answer 3

is it (3n+1)/2n + 4??

Answer 4

if it is then the answer is 5.5

Answer 5

or is it (3n+1)/(2n+4) if it is that the answer is 3/2

Answer 6

choose...

Answer 7

I would put money on it being the second one

Answer 8

no parenthesis

Answer 9

none anywhere? then its infinity

Answer 10

even by using the theorem?

Answer 11

ive used the theorem

Answer 12

hmm okay . what about \[b_{n} = (-1)^{2n+1}\]

Answer 13

..-1^infty

Answer 14

= - 1 x (-1)^2n

Answer 15

=-1 for all n

Answer 16

yeah

Answer 17

raising anything to a even power is positive

Answer 18

isn't it odd?

Answer 19

well, should be "for all integer n's"

Answer 20

no, (2n) is an even number

Answer 21

oh.. so you disregard the 1 ?

Answer 22

no :|

Answer 23

x^(a+b) = (x^a)(x^b)

Answer 24

so \[(-1)^{2n+1} = (-1)^{2n} (-1)^1 = - (-1)^{2n}\]

Answer 25

and -1 to an even integer power is +1so (-1) x (1) = -1

Answer 26

ahhhhhhh. thank you!