Math  /  Calculus

QuestionDetermine whether f(x)f(x) approaches \infty or -\infty as xx approaches 4 from the left and from the right. f(x)=1(x4)2limx41(x4)2=limx4+1(x4)2=\begin{array}{r} f(x)=\frac{-1}{(x-4)^{2}} \\ \lim _{x \rightarrow 4^{-}} \frac{-1}{(x-4)^{2}}=\square \\ \lim _{x \rightarrow 4^{+}} \frac{-1}{(x-4)^{2}}=\square \end{array} \square \square

Studdy Solution
limx41(x4)2= \lim_{x \rightarrow 4^{-}} \frac{-1}{(x-4)^{2}} = -\infty limx4+1(x4)2= \lim_{x \rightarrow 4^{+}} \frac{-1}{(x-4)^{2}} = -\infty

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