Find the value of 

Concept:The Squeeze Theorem (The Sandwich Theorem):

 is used on a function where it will be almost impossible to differentiate.

• The squeeze theorem states that if we define functions such that h(x) ≤ f(x) ≤ g(x) and if , then .

Calculation:

Given:

Consider approaching (0, 0) along x-axis. This means fixing y = 0 and find:

∴  ............................ (1)

Consider approaching (0, 0) along y-axis. This means fixing x = 0 and finding:

 ..................................(2)

Now considering a path: y = 

⇒ 

⇒  ........................................(3)

So, From (1), (2) and (3), Limits along different paths are different, So, the limit does not exist