Question

2. (5pt) Based on the table below what is lim g(x) = ? Justify your response with a written explanation. 4.99 4.999 5.001 5.01 4.9999 3.995 5.0001 3.995 g(x) 3.95 3.98 3.98 3.95

Answer 1

We have given the table. We want to find the value of g(x) at x=5. So, Here in the following problem we use the limits rule to solve it .

Now we use here the limits rule LHL=RHL

Here x is 5 so x should be slightly small and slightly greater than the 5 .we get that x=4.9999 and x=5.0001

$lim_{x \to 5^-}=3.995$

$lim_{x \to 5^+}=3.995$

So g(x) =3.995