Recent content by Shayes

Proof by Induction: Show Base case is true. (n=1) Assume nth case is true. Want to show: (n+1)th case is true. Find relationship between n+1 case and n case and then use inequalities and equalities to prove it.

just replace this so now we have a-√2<t<b-√2 , and t is a rational number. then we add √2 with this so now we have a-√2<s<b-√2 , and s is a rational number. then we add √2 and the other lines as necessary

yes but honestly it looks fine to me

check it again, checkitagain

You think the yield will be smaller relative to what? Relative to Stopping the rxn early?

how do you find an extensive variable from an intensive variable? lol tell him he is missing some info

relative to what?

the way the question is worded implies you probably don't need to show using math. is this an intro to materials class? or upper div?

i thought of that, but is that the same as saying the entire sequence converges? i feel like this statement says that each term is squeezed between the interval, but it doesn't say anything about if the limit of the sequence's terms is taken to infinity.

yea the direction does appear to be perpendicular to the plane. are you sure you need to prove it using math?

lol word piggy, you are given the volume and the density. you want to find the mass, so what do you do?

Homework Statement If {S_n} is a sequence whose values lie inside an interval [a,b], prove {S_n/n} is convergent. We don't know Cauchy sequence yet. All we know is the definition of a bounded sequence, and convergence and divergence of sequences. Along with comparison tests and Squeeze...