# Show that function ƒ(x) = is continuous.

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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