Recent content by control

OK, thanks a lot.

Ok, so now I choose 5 equations with 5 unknown currents, find them and using Ohm´s law I will find voltage on resistors?

There should be two loops involving source: ε-R_1*I_3-R_2*I_5=0 ε-R_2*I_1-R_1*I_4=0

You mean: -I_3*R_1-I_2*R_3+I_1*R_2=0 -I_2*R_3-I_4*R_1+I_5*R_2=0 I_1+I_2=I_4 I_3=I_2+I_5 ?

Well, resistance of equivalent resistor would be R_eq=2461.44 ohms. KVL loop looks: +voltage of battery-(current*equivalent resistor)=0 => 12volts-current*2461.44ohms=0 => current=0.004875ampers So what should I do next?

Homework Statement Set voltage between 1. a-b; 2- b-c; 3 c-d 4. a-c; if voltage of battery is 12V and R_1=2000 ohms R_2=3000 ohms; R_3= 4000 ohms. (see attached file) Homework Equations voltage=final voltage- innitial voltage resistors in series R_1,2=R_1+R_2 parallel resistors...

I meant if there exists some sequence which is non-convergent and we can make such subsequence from it which would be convergent. But from our discussion and my knowledge it is impossible to find such sequence, or am I wrong?

I have one more question. I am curious, where in practice are subsequences used, and how can I formally write that elements of my subsequence are for example every third element of my sequence?

Thanks guys, it is clear for me now. Mark44: All elements of second convergent subsequence are -1. Thanks for good example.

And I want to show if non-convergent sequence has always non-convergent subsequence.

I probably do not understand what is subsequence. Can you explain it in words and examples, please (not in formulas)?

Hi guys, I am not sure if my understanding of subsequence is right. For example I have sequence {x} from n=1 to infinity. Subsequence is when A) I chose for example every third term of that sequence so from sequence 1,2,3,4,5,6,7,... I choose subsequence 1,4,7...? B) Or subsequence is when I...

Thanks for answer.

Hi guys, I would like to ask if a set can contain coordinates of points, for example A={[1,3];[4,5];[4,7]} and if we can do Cartesian product of such sets, for example A={[1,3];[4,5]}, B={[7,8];[4,2]} A×B={[1,3][7,8];[1,3][4,2];[4,5][7,8];[4,5][4,2]} (is it correct to write it like that?). I am...