Document 436k

I create cheat sheets after giving the same lesson over and over again. This one covers the 10 series convergence tests for convergence...

Document 436k

I create cheat sheets after giving the same lesson over and over again. This one covers the 10 series convergence tests for convergence...

Document 333k

I create cheat sheets after giving the same lesson over and over again. This one covers sequences and series. Nice collection of series...

The actual problem description is as follows : If we know the sum of the series : 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 +14...

sequence problem

1/3, 1, 1/2 or 2? how?

If im given with the 4th value and the total terms how do I solve without a1 or an and d

what set does this number go to

How do I go about proving limits for given sequences and series, for example how would i prove that the limit when x tends to infinity of n^(1/n)=1?

Let f(x)= ∑∞n=0 (x^n)/(n!) Find f(0)= 1 f(1)= e f'(x)= f(x) f''(x)= f(x) Not exactly sure how we're supposed to go about finding those answers, or how to start.

Given numbers 01 to 49, make unique series of 6 numbers....I e if we select 5,11,19,22,31,49/1,9,16,29,33,44 then they shd be found there.....

Let (an) and (bn) be sequences of real numbers with an ≥ 0 for all n ∈ N. Suppose that an ≤ bn for all n ∈ N and that the sum of all bk from k=1 to infinity is convergent. Prove...

Please note that I am talking about a series and NOT a sequence

I couldn't figure out how to do this :/

an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex {n2e-n} Limit converges to 0? How?...

A series is given as below, 2-2^2/(x+1)+2^3/(x+1)^2 -2^4/(x+1)^3 +⋯+2^r/〖(-(x+1)〗^(r-1) +⋯ I) Find the set of values of x such that the series converges...

pls clear my confusion

FORMULAE FOR SERIES +N/2+N/4+N/8......1

Document 21k

The file contains an explanation for finding upper limit to infinite sum $$\sum_{r=1}^{\infty}{\frac{r+2}{2^{r+1}\times r \times...

Can anyone explain how you prove a general term is true for a series, un+1=un/1+un u1=2 (i) find u2 and u3 (ii) Hence suggest an expression for un and so I have found...

∞∑n=1 (x−4)^n /n^n

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