Q. 33.8( 4 Votes )

Show that function ƒ(x) = is continuous.

Answer :

Given:


ƒ(x) =


Left hand limit and x = 1


=


=



Applying L hospital’s rule


= n


Right hand limit and x = 1


=


=


Applying L hospital’s rule


= n


Also, f(x) = n at x =1


As we can see that


Thus, f(x) is continuous at x = 1


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