Q. 21

Show that does not exist.

Answer :

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.


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