Question

Have a question regarding limits of sequences

Answer 1

whats up?

Answer 2

just give me a moment let me screen shot it

Answer 3

question 3 and 4

Answer 4

o man this will be hard to show on this haha

Answer 5

@ganeshie8 @zepdrix

Answer 6

@dashdg oh man just try

Answer 7

3. have you proved doing induction?

Answer 8

i haven tried anything as of now

Answer 9

what class is this for?

Answer 10

advanced cacl bro

Answer 11

is that after multivariable? i am a senior math major ha

Answer 12

its level 534 and it comes after calc 3

Answer 13

advanced calculus 1

Answer 14

is it like real analysis?

Answer 15

have you dealt with Cauchy squeneces?

Answer 16

am not a major in math , i major in electrical .. yes its like real analysis

Answer 17

yes we have

Answer 18

Do you know bernoulli's inequality by any chance?

Answer 19

no not off hand

Answer 20

whats it say?

Answer 21

no bernoullis equality bro

Answer 22

If $$r>1,x\ge -1,$$ then: $$(1+x)^r>1+rx$$

Answer 23

ahhhh, BOOOOO. Your problem is an immediate consequence =/

Answer 24

i am going to use a form of proof called induction:
base case a^1>1+1(a-1)
a^1>1+a-1
a^1> a checks for all a>1 so it checks

Suppose it works for k^n>1+n(k-1)
prove for k+1....
(K+1)^n>1+n(k+1-1)
K+1^n>1+n*k
because of the inequality it checks
qed

Answer 25

thanks my genius boys..

Answer 26

i have plenty more questions as wel

Answer 27

im sorry i am going to need to get some sleep i have an 8am class tomorrow

Answer 28

alright thanks @dashdg

Answer 29

@hartnn @campbell_st @mathstudent55

Answer 30

@Ashleyisakitty

Answer 31

@mathstudent55