Recent content by irebat

omg your right. careless mistake got me again. dang yeah, taking that -1 out brings out an x-1 in the numerator that cancels with the denominator that I completely forgot about and then i can take my limit to get -2/4, which is right. BIG THANKS, man, seriously.

well, actually right now i have \lim_{x\to 1} \frac{-x^2 + 1}{2(x^2 + 1)}

use the definition of the derivative to compute the derivative of the function at x=1 f(x) = 1/(1 + x 2) for all x. The Attempt at a Solution i put it into lim[ (f(x)-f(xo))/x-xo ] form and got [(1/1+x2) - (1/2)] <---------numerator ___________________________ <----- division...

but isn't the point of induction to prove that an is always greater than an+1 if I just prove that my term an is larger than than an+1 does that prove my entire function is monotonically decreasing? i thought i had to define it in implicit terms other than the given ones. like an+1 and its...

Given the sequence: if n=1, an = 2 if n>1, an+1 = 1/2(an + 3/an) prove that this sequence is decreasing im having trouble with recursively defined sequences. I know I am supposed to use induction in some way, but its not that straitforward with the 'double sequence' in the an+1...

hey guys I asked my TA and he walked me through it. I seemed to understand when he explained it to me but when i got home for the life of me i can't seem to remember what he did. this is the work i wrote down, can someone explain to me the thought process here? --------------- If this is...

1. Suppose that Ø:Z(50)→Z(50) is an automorphism with Ø(11)=13. Determine a formula for Ø(x). this is the problem I am getting, its chapter 6 problem 20 in Gallian's Abstract Algebra latest edition (you can find it on googlebooks) Am i wrong in thinking there's something wrong with the problem...