i have midterm tmr please help😭

[whole anchor]

Why k is greater than 5/eps-1

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[subtle marlin]

You choose k greater than 5/eps-1 such that the big absolute value is smaller than eps for all n>k

[whole anchor]

I dont get it

[subtle marlin]

It's kind of the hard part of the question

You want to find such a k for every epsilon

And with that you can conclude that the limit is 2

One way to get to 5/eps-1 is to transform the inequality with absolute value:

[whole anchor]

All i wanna know is why k is greater

[subtle marlin]

Ah, right

k can also be 5/eps-1

But 5/eps-1 is not always a natural number

So for general epsilon we have k > 5/eps-1

[whole anchor]

THANK U SO MUCHHH

[grave roost]

@whole anchor has given 1 rep to @subtle marlin

[whole anchor]

Now i get it

THANK U AGAINN