How do you prove that g(x) = 1/2xg(x)=12x is continuous at x=1/4x=14?

1 Answer
Nov 25, 2017

Please refer to the Explanation.

Explanation:

To prove that the function g(x)=1/2xg(x)=12x is continuous at x=1/4,x=14, we

have to show that, lim_(x to 1/4) g(x)=g(1/4).

Now, lim_(x to 1/x) g(x),

=lim_(x to 1/4) 1/2x,

=1/2*1/4,

=1/8,

=g(1/4).

Hence, g is continuous at x=1/4.