>>13385212you went straight into assuming
sqrt(3x_n) > x_n
say x_n is >3 (or negative), then this is not true
state that your argument is dependant on whether the limit l exists(use the italic text word for word), this is usually worth a mark in an exam situation
your prof's proof for boundedness uses induction with a base case n=1
make sure you know how these arguments work, you show its true for n=1, then show if its true for n=k, then it must also be true for n=k+1
i.e. true for n=1 -> true for n=2 -> true for n=...
after showing this, you can then return to the type of reasoning you showed for monotonically increasing (as x_n < 3)
use your argument for l=3 with the fact that x_n>0 will finish off the argument
>>13385251e
