(Solved): Complete the following table for \( f(x)=\frac{x^{2}}{x-4} \), then estimate the limit and describe ...

Complete the following table for \( f(x)=\frac{x^{2}}{x-4} \), then estimate the limit and describe the behavior of the function as \( x \) approaches 4 . Round your answers in the table to the nearest integer. Round your answer for the limit to two decimal places. If the limit does not exist, enter DNE. \[ \lim _{x \rightarrow 4}\left(\frac{x^{2}}{x-4}\right)= \] ? [1] Select the option that best describes the behavior of \( f(x) \) as \( x \) approaches 4 . Select the option that best describes the behavior of \( f(x) \) as \( x \) approaches 4 . The limit exists. The graph approaches the same value from the left and right of \( x=4 \). The limit does not exist. The graph approaches negative infinity from the left of \( x=4 \) and positive infinity from the right of \( x=4 \). The limit does not exist. The graph approaches positive infinity from the left of \( x=4 \) and negative infinity from the right of \( x=4 \). The limit does not exist. The graph fluctuates in output values near \( x=4 \).