cakesmckakes

Let a_1=1 and let a_(k+1)=1/(a_k)

Determine whether a_k converges or diverges. Also, if it converges, is it Cauchy?

Note: "a_k" means "a subscript k"

Can someone explain (or give a site that would help) explain the difference between pointwise convergence of a sequence of functions Vs uniform convergence of a sequence of functions.

Can someone give a general proof of the Chain Rule in one variable, which includes the case when g'(x)=0.

My ex and I have been apart for about 2 months. Today she texts me and asks if I wanna hang, I reply "I have other plans. I have to go umpire a little league game." Which is true, but then she texts me back saying, "You want to date again?" I haven't replied since then, I'm not that into her anymore. Is there a way to let her down easy without hurting her too much??

Thank you in Advance

Proof the following theorem:

Theorem: Let a_k be a Cauchy sequence with a_k>0, for all k. Every sequence of this form converges.

Use the "logarithmic integral function, or li(x)" to approximate the number of primes less than 10^6.

I know that li(x)=integral(dt/ln(t)), t=0 to t=x, but I don't know how to use it to approximate the number of primes.

I just bought the BattleChest and I tried entering the code and it said "code not valid". I've tried at least 20 times and I've double and triple checked and it still doesn't work? Help plz

I know Flygon is more popular, but I still think Salamece is better. Am I wrong or are they both about even?

Let f: R-->R be defined by f(x)=x^k, for any natural number k. Determine what values of k, if any, make f uniformly continuous over R. If there does not exist such k, use induction to verify it.

Does anyone know where I can find a direct download for Jurassic Park Operation Genesis?

My guinea pig makes various squealing sounds and similiar sounds. I know some of the sounds mean that he feels threatened because the cat is near his cage. But he still makes them even when there are no potential threats around. I'm just wondering what all the different sounds mean?

Determine the Taylor Series expansion for the Logarithmic Integral function at x=2. Also, determine the radius and interval of convergence.

Recall that Li(x)=integral(dt/ln(t)) t=0 to t=x

Now I met this girl Thursday, we talked for a while and hit it off and she gave me her number. I text her later that night, "Hi" and we get to know each other, nothing big just our interests. She then texts me "I think your the sweetest guy I've talked to. Ever." How? Why would she say this when she hardly even knows me?

Let a and b both be in Q (rational numbers). Show that for every c>0, that there exists at least 1 irrational number in (a-c, b-c). In other words, show that I is dense in R

Please note that in Real Analysis, exp(x)=sum([x^k]/k!, k=0, k=infinity) is its definition.

Suppose that f(x, y) is differentiable on some closed disk D. Use differentials to approximate the magnitude of the error in using the Linear approximation, L(x, y).

Determine the domain of the Gamma function. Also, show that Gamma(n-1)=n!. We are studying the Gamma function in Real Analysis and I'm completely lost.

Note: I used the notation Gamma(n) to denote the Gamma function's value at n. And n is any positive integer.

I recently traded my Oshawott from my White to my Black. My Swanna is at LV47 and Oshawotta is now fully evolved at LV40. I've beaten the 8th Gym, my question is which one would fare better against the Elite Four?

Note: I haven't beat the game yet so please don't ruin the ending. Thank you