contestada

Determine if the given function can be extended to a continuous function at xequals0. If​ so, approximate the extended​ function's value at xequals0. If​ not, determine whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at xequals0.

Respuesta :

okpalawalter8

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

        [tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]

Now  as  [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]

       =>    [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]

This  implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at  x = 0  the function is not continuous  

Otras preguntas