Prove Lim √ (X & # 178; + 5) = 3 with the definition of ε - δ

Prove Lim √ (X & # 178; + 5) = 3 with the definition of ε - δ


Proof: let │ X-2 │



How to define LIM (n →∞) (LN n) / N = 0


For
|(ln n)/n-0|
=|ln n|/|n|
For LN n, when n > 4, there must be: ln N4
Then, if f '(x) = 1 / X-1 / (2 √ x) 4, it decreases monotonically,
That is, LNX - √ x = f (x)



Prove LIM (n →∞) (√ n + 1) / (3 √ n-1) = 1 / 3 with the definition of ε - n


For any ε > 0; n > 1
Abs((√n+1)/(3√n-1)-1/3)=2/3*Abs(1/(3√n-1))
=2/3/(3√n-1)

Elden Ring Premiere

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