Skip to content

Cauchy's Creation Mystery Cache

Hidden : 3/11/2020
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:


The cache is NOT at the listed coordinates.

 


Simply match the letters with the correct numbers!

Type the letters in the numerical order they occur into Certitude for the coordinates.

 

1. ∀ ϵ>0 ∃ δ>0 s.t. 0<|x−c|<δ ⟶ |f(x)−L| <ϵ

2. ∀ ϵ>0 ∃ δ>0 s.t. c-δ<x<δ ⟶ |f(x)−L| <ϵ

3. ∀ ϵ>0 ∃ δ>0 s.t. δ<x<c+δ ⟶ |f(x)−L| <ϵ

4. ∀ ϵ>0 ∃ m>0 s.t. x>m ⟶ |f(x)−L| <ϵ

5. ∀ ϵ>0 ∃ n>0 s.t. x<-n ⟶ |f(x)−L| <ϵ

6. ∀ M>0 ∃ δ>0 s.t. 0<|x−c|<δ ⟶ f(x)>M

7. ∀ N>0 ∃ δ>0 s.t. 0<|x−c|<δ ⟶ f(x)<-N

8. ∀ M>0 ∃ m>0 s.t. x>m ⟶ f(x)>M

9. ∀ M>0 ∃ n>0 s.t. x<-n ⟶ f(x)>M

10. ∀ N>0 ∃ m>0 s.t. x>m ⟶ f(x)<-N

11. ∀ N>0 ∃ n>0 s.t. x<-n ⟶ f(x)<-N


A.     lim f(x)=L     

       x→∞


 

B.     lim f(x)=∞                

       x→∞


 

C.     lim f(x)=L          

       x→c


 

D.     lim f(x)=∞          

       x→-∞


E.     lim f(x)=L        

       x→c+


 

F.     lim f(x)=L                 

       x→-∞


 

G.     lim f(x)=-∞             

       x→-∞


 

H.     lim f(x)=-∞          

       x→∞


 

I.     lim f(x)=∞               

       x→c


 

J.     lim f(x)=-∞                  

       x→c


K.     lim f(x)=L          

       x→c-


Congrats to Paintballvet18 on FTF!


You can validate your puzzle solution with certitude.

Additional Hints (No hints available.)