
means to say that for any given
, we can find
such that anytime
(i.e. the whenever
is "close enough" to 5), we can guarantee that
(i.e. the value of
is "close enough" to the limit value).
What we want to end up with is

Dividing both sides by 3 gives

which suggests
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let
be given. Then if

and so the limit is 7. QED
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Step-by-step explanation:
Answer:
the second option
Step-by-step explanation:
The second option because there is no pattern.
Answer
Sorry! number 12 is 2
Step-by-step explanation: