The answer is A
Hopes this helps
First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit). There is a typo. The 14 should be positive.

The precise definition of a limit is:

Given:

⇒ 
When ε = 0.1, δ = 0.1
When ε = 0.01, δ = 0.01
I dont know the log in so guess and you have chance to do it y=log