Hello everyone!

So, this is the question, and I am not sure I am able to find any reason why this statement is wrong, as the exercise requires.

Exercise 2.3.53

Show by example that the following statement is wrong:The number L is the limit of

f(x) as x approaches x_{0}if f(x) gets closer to L as x approaches x_{0}.

Explain why the function in your example does not have the given value of L as a

limit as x -> x_{0}.

I have just started my university calculus course and am feeling pretty lost most of the time. Some words of advice would be nice if anyone has any hehe.

Thank you everyone!