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

Question

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

Jovany Mathews · Accepted Answer

To prove that the function             g              (        x        )              =          1      2        x   is continuous at       x    =          1      4        ,   wehave to show that,             lim              x        →                  1          4                            g              (        x        )              =          g              (                  1          4                )              .  Now             lim              x        →                  1          x                            g              (        x        )              ,        =          lim              x        →                  1          4                            1      2        x    ,        =          1      2        ⋅          1      4        ,        =          1      8        ,        =          g              (                  1          4                )              .  Hence, g is continuous at       x    =          1      4        .

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

Open question

Answer & Explanation

New Questions in Differential Calculus