Question

Find the limit L. use the ε-δ to prove the limit is L. lim x-->36 || sqrt(x) || answer = 6 || How do you show your work for this?

Answer 1

Step 1:

The limit of a function is .

definition:

means that for every , there exists a , such that for every , the expression implies .

Consider .

Add 6 to each side.

Step 2:

Consider .

Observe the relation between and  .

Solution:

.