Q10 of 127 Page 834

Show that does not exist.

Let x = 0+h for x tending to 0+


Since x→ 0, h also tends to 0


Right Hand Limit(R.H.L.):






=


=


Let x=0 -h for x tending to 0-


Since x→0, h also tends to 0.


Left Hand Limit(L.H.L.):






=


= - ∞


Since,



Thus, does not exist.


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