To Prove: does not exist

Let us take the left-hand limit for the function:

L.H.L

Now, multiplying and dividing by h, we get,

L.H.L

Now, taking the right-hand limit of the function, we get,

R.H.L

Now, multiplying and dividing by h, we get,

R.H.L

Clearly, L.H.L ≠ R.H.L

Hence, limit does not exist.